Finding the Fourth Proportional to 1,002.18, 1,382.94 and 560.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.18 : 1,382.94 = 560.16 : x
2. Step 2: Convert to fraction form
   1,002.18/1,382.94 = 560.16/x
3. Step 3: Cross multiply
   1,002.18x = 1,382.94 × 560.16
4. Step 4: Simplify right side
   1,002.18x = 774,667.67
5. Step 5: Solve for x
   x = 774,667.67/1,002.18
6. Step 6: Final answer
   x = 772.98