Finding the Fourth Proportional to 1,037.94, 1,432.57 and 596.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.94 : 1,432.57 = 596.15 : x
2. Step 2: Convert to fraction form
   1,037.94/1,432.57 = 596.15/x
3. Step 3: Cross multiply
   1,037.94x = 1,432.57 × 596.15
4. Step 4: Simplify right side
   1,037.94x = 854,017.95
5. Step 5: Solve for x
   x = 854,017.95/1,037.94
6. Step 6: Final answer
   x = 822.80