Finding the Fourth Proportional to 1,414, 2,123.76 and 1,196.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414 : 2,123.76 = 1,196.53 : x
2. Step 2: Convert to fraction form
   1,414/2,123.76 = 1,196.53/x
3. Step 3: Cross multiply
   1,414x = 2,123.76 × 1,196.53
4. Step 4: Simplify right side
   1,414x = 2,541,142.55
5. Step 5: Solve for x
   x = 2,541,142.55/1,414
6. Step 6: Final answer
   x = 1,797.13