Finding the Fourth Proportional to 1,025.89, 1,415.73 and 560.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.89 : 1,415.73 = 560.14 : x
2. Step 2: Convert to fraction form
   1,025.89/1,415.73 = 560.14/x
3. Step 3: Cross multiply
   1,025.89x = 1,415.73 × 560.14
4. Step 4: Simplify right side
   1,025.89x = 793,007.00
5. Step 5: Solve for x
   x = 793,007.00/1,025.89
6. Step 6: Final answer
   x = 772.99