Finding the Fourth Proportional to 1,158.78, 1,599.09 and 634.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.78 : 1,599.09 = 634.83 : x
2. Step 2: Convert to fraction form
   1,158.78/1,599.09 = 634.83/x
3. Step 3: Cross multiply
   1,158.78x = 1,599.09 × 634.83
4. Step 4: Simplify right side
   1,158.78x = 1,015,150.30
5. Step 5: Solve for x
   x = 1,015,150.30/1,158.78
6. Step 6: Final answer
   x = 876.05