Finding the Fourth Proportional to 1,038.50, 1,433.16 and 572.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.50 : 1,433.16 = 572.78 : x
2. Step 2: Convert to fraction form
   1,038.50/1,433.16 = 572.78/x
3. Step 3: Cross multiply
   1,038.50x = 1,433.16 × 572.78
4. Step 4: Simplify right side
   1,038.50x = 820,885.38
5. Step 5: Solve for x
   x = 820,885.38/1,038.50
6. Step 6: Final answer
   x = 790.45