Finding the Fourth Proportional to 1,002.10, 1,382.93 and 560.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.10 : 1,382.93 = 560.05 : x
2. Step 2: Convert to fraction form
   1,002.10/1,382.93 = 560.05/x
3. Step 3: Cross multiply
   1,002.10x = 1,382.93 × 560.05
4. Step 4: Simplify right side
   1,002.10x = 774,507.15
5. Step 5: Solve for x
   x = 774,507.15/1,002.10
6. Step 6: Final answer
   x = 772.88