Finding the Fourth Proportional to 1,004.27, 1,385.93 and 562.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.27 : 1,385.93 = 562.19 : x
2. Step 2: Convert to fraction form
   1,004.27/1,385.93 = 562.19/x
3. Step 3: Cross multiply
   1,004.27x = 1,385.93 × 562.19
4. Step 4: Simplify right side
   1,004.27x = 779,150.46
5. Step 5: Solve for x
   x = 779,150.46/1,004.27
6. Step 6: Final answer
   x = 775.84