Finding the Fourth Proportional to 1,004.31, 1,386.18 and 562.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.31 : 1,386.18 = 562.38 : x
2. Step 2: Convert to fraction form
   1,004.31/1,386.18 = 562.38/x
3. Step 3: Cross multiply
   1,004.31x = 1,386.18 × 562.38
4. Step 4: Simplify right side
   1,004.31x = 779,559.91
5. Step 5: Solve for x
   x = 779,559.91/1,004.31
6. Step 6: Final answer
   x = 776.21