Finding the Fourth Proportional to 1,025.54, 1,414.72 and 776.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.54 : 1,414.72 = 776.42 : x
2. Step 2: Convert to fraction form
   1,025.54/1,414.72 = 776.42/x
3. Step 3: Cross multiply
   1,025.54x = 1,414.72 × 776.42
4. Step 4: Simplify right side
   1,025.54x = 1,098,416.90
5. Step 5: Solve for x
   x = 1,098,416.90/1,025.54
6. Step 6: Final answer
   x = 1,071.06