Finding the Fourth Proportional to 1,038.17, 1,432.62 and 596.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.17 : 1,432.62 = 596.00 : x
2. Step 2: Convert to fraction form
   1,038.17/1,432.62 = 596.00/x
3. Step 3: Cross multiply
   1,038.17x = 1,432.62 × 596.00
4. Step 4: Simplify right side
   1,038.17x = 853,845.10
5. Step 5: Solve for x
   x = 853,845.10/1,038.17
6. Step 6: Final answer
   x = 822.45