Finding the Fourth Proportional to 1,159.38, 1,599.89 and 635.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.38 : 1,599.89 = 635.31 : x
2. Step 2: Convert to fraction form
   1,159.38/1,599.89 = 635.31/x
3. Step 3: Cross multiply
   1,159.38x = 1,599.89 × 635.31
4. Step 4: Simplify right side
   1,159.38x = 1,016,422.94
5. Step 5: Solve for x
   x = 1,016,422.94/1,159.38
6. Step 6: Final answer
   x = 876.70