Finding the Fourth Proportional to 1,158.64, 1,598.96 and 634.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.64 : 1,598.96 = 634.72 : x
2. Step 2: Convert to fraction form
   1,158.64/1,598.96 = 634.72/x
3. Step 3: Cross multiply
   1,158.64x = 1,598.96 × 634.72
4. Step 4: Simplify right side
   1,158.64x = 1,014,891.89
5. Step 5: Solve for x
   x = 1,014,891.89/1,158.64
6. Step 6: Final answer
   x = 875.93