Finding the Fourth Proportional to 1,500.10, 2,070.13 and 827.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500.10 : 2,070.13 = 827.92 : x
2. Step 2: Convert to fraction form
   1,500.10/2,070.13 = 827.92/x
3. Step 3: Cross multiply
   1,500.10x = 2,070.13 × 827.92
4. Step 4: Simplify right side
   1,500.10x = 1,713,892.46
5. Step 5: Solve for x
   x = 1,713,892.46/1,500.10
6. Step 6: Final answer
   x = 1,142.52