Finding the Fourth Proportional to 1,158.95, 1,599.39 and 635.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.95 : 1,599.39 = 635.00 : x
2. Step 2: Convert to fraction form
   1,158.95/1,599.39 = 635.00/x
3. Step 3: Cross multiply
   1,158.95x = 1,599.39 × 635.00
4. Step 4: Simplify right side
   1,158.95x = 1,015,604.65
5. Step 5: Solve for x
   x = 1,015,604.65/1,158.95
6. Step 6: Final answer
   x = 876.31