Finding the Fourth Proportional to 1,025.64, 1,414.82 and 646.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.64 : 1,414.82 = 646.94 : x
2. Step 2: Convert to fraction form
   1,025.64/1,414.82 = 646.94/x
3. Step 3: Cross multiply
   1,025.64x = 1,414.82 × 646.94
4. Step 4: Simplify right side
   1,025.64x = 915,293.34
5. Step 5: Solve for x
   x = 915,293.34/1,025.64
6. Step 6: Final answer
   x = 892.41