Finding the Fourth Proportional to 1,038.96, 1,433.70 and 566.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.96 : 1,433.70 = 566.82 : x
2. Step 2: Convert to fraction form
   1,038.96/1,433.70 = 566.82/x
3. Step 3: Cross multiply
   1,038.96x = 1,433.70 × 566.82
4. Step 4: Simplify right side
   1,038.96x = 812,649.83
5. Step 5: Solve for x
   x = 812,649.83/1,038.96
6. Step 6: Final answer
   x = 782.18