Finding the Fourth Proportional to 1,002.15, 1,383.01 and 560.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.15 : 1,383.01 = 560.09 : x
2. Step 2: Convert to fraction form
   1,002.15/1,383.01 = 560.09/x
3. Step 3: Cross multiply
   1,002.15x = 1,383.01 × 560.09
4. Step 4: Simplify right side
   1,002.15x = 774,612.13
5. Step 5: Solve for x
   x = 774,612.13/1,002.15
6. Step 6: Final answer
   x = 772.95