〜にかたくない
it's not hard to (imagine, understand)
Noun / Verb dictionary form (想像, 察する, 予想) + にかたくない
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にかたくない (に難くない) means "it's easy to imagine, understand or guess": 彼女の悲しみは想像にかたくない, "it's not hard to imagine her grief".
It combines with a small set of words for imagining and inferring: 想像, 察する ("sense"), 予想, 理解 and 推測. The subject is usually someone's feelings or a likely outcome.
かたい (難い) here means "difficult", as in 忘れがたい, so it's literally "not difficult". It's formal and written, common in news and essays when describing how others must feel.
Compare にたえない, "unbearable to", and には当たらない, "there's no reason to".
Examples
彼女の悲しみは想像にかたくない。
It's not hard to imagine her grief.
子を失った親の気持ちは、察するにかたくない。
It's easy to sense how the parents who lost their child must feel.
彼が反対することは、予想にかたくない。
It's easy to predict that he'll object.
被害の大きさは想像するにかたくない。
The scale of the damage is easy to imagine.
彼がどれほど苦労したかは、理解にかたくない。
It's easy to understand how much he must have struggled.