Finding the Fourth Proportional to 1,042.07, 1,562.04 and 580.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.07 : 1,562.04 = 580.05 : x
2. Step 2: Convert to fraction form
   1,042.07/1,562.04 = 580.05/x
3. Step 3: Cross multiply
   1,042.07x = 1,562.04 × 580.05
4. Step 4: Simplify right side
   1,042.07x = 906,061.30
5. Step 5: Solve for x
   x = 906,061.30/1,042.07
6. Step 6: Final answer
   x = 869.49