Finding the Fourth Proportional to 1,158.80, 1,599.15 and 634.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.80 : 1,599.15 = 634.82 : x
2. Step 2: Convert to fraction form
   1,158.80/1,599.15 = 634.82/x
3. Step 3: Cross multiply
   1,158.80x = 1,599.15 × 634.82
4. Step 4: Simplify right side
   1,158.80x = 1,015,164.41
5. Step 5: Solve for x
   x = 1,015,164.41/1,158.80
6. Step 6: Final answer
   x = 876.05