Finding the Fourth Proportional to 1,004.16, 1,385.67 and 562.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.16 : 1,385.67 = 562.05 : x
2. Step 2: Convert to fraction form
   1,004.16/1,385.67 = 562.05/x
3. Step 3: Cross multiply
   1,004.16x = 1,385.67 × 562.05
4. Step 4: Simplify right side
   1,004.16x = 778,819.29
5. Step 5: Solve for x
   x = 778,819.29/1,004.16
6. Step 6: Final answer
   x = 775.60