Finding the Fourth Proportional to 1,158.76, 1,599.06 and 634.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.76 : 1,599.06 = 634.78 : x
2. Step 2: Convert to fraction form
   1,158.76/1,599.06 = 634.78/x
3. Step 3: Cross multiply
   1,158.76x = 1,599.06 × 634.78
4. Step 4: Simplify right side
   1,158.76x = 1,015,051.31
5. Step 5: Solve for x
   x = 1,015,051.31/1,158.76
6. Step 6: Final answer
   x = 875.98