Finding the Fourth Proportional to 1,025.64, 1,411.83 and 776.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.64 : 1,411.83 = 776.52 : x
2. Step 2: Convert to fraction form
   1,025.64/1,411.83 = 776.52/x
3. Step 3: Cross multiply
   1,025.64x = 1,411.83 × 776.52
4. Step 4: Simplify right side
   1,025.64x = 1,096,314.23
5. Step 5: Solve for x
   x = 1,096,314.23/1,025.64
6. Step 6: Final answer
   x = 1,068.91