Finding the Fourth Proportional to 1,002.23, 1,382.94 and 560.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.23 : 1,382.94 = 560.15 : x
2. Step 2: Convert to fraction form
   1,002.23/1,382.94 = 560.15/x
3. Step 3: Cross multiply
   1,002.23x = 1,382.94 × 560.15
4. Step 4: Simplify right side
   1,002.23x = 774,653.84
5. Step 5: Solve for x
   x = 774,653.84/1,002.23
6. Step 6: Final answer
   x = 772.93