Finding the Fourth Proportional to 1,038.59, 1,433.25 and 566.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.59 : 1,433.25 = 566.48 : x
2. Step 2: Convert to fraction form
   1,038.59/1,433.25 = 566.48/x
3. Step 3: Cross multiply
   1,038.59x = 1,433.25 × 566.48
4. Step 4: Simplify right side
   1,038.59x = 811,900.29
5. Step 5: Solve for x
   x = 811,900.29/1,038.59
6. Step 6: Final answer
   x = 781.74