Finding the Fourth Proportional to 1,002.16, 1,382.81 and 560.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.16 : 1,382.81 = 560.06 : x
2. Step 2: Convert to fraction form
   1,002.16/1,382.81 = 560.06/x
3. Step 3: Cross multiply
   1,002.16x = 1,382.81 × 560.06
4. Step 4: Simplify right side
   1,002.16x = 774,453.77
5. Step 5: Solve for x
   x = 774,453.77/1,002.16
6. Step 6: Final answer
   x = 772.79