Finding the Fourth Proportional to 1,038.98, 1,433.82 and 566.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.98 : 1,433.82 = 566.89 : x
2. Step 2: Convert to fraction form
   1,038.98/1,433.82 = 566.89/x
3. Step 3: Cross multiply
   1,038.98x = 1,433.82 × 566.89
4. Step 4: Simplify right side
   1,038.98x = 812,813.57
5. Step 5: Solve for x
   x = 812,813.57/1,038.98
6. Step 6: Final answer
   x = 782.32