Finding the Fourth Proportional to 1,159.30, 1,599.83 and 635.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.30 : 1,599.83 = 635.33 : x
2. Step 2: Convert to fraction form
   1,159.30/1,599.83 = 635.33/x
3. Step 3: Cross multiply
   1,159.30x = 1,599.83 × 635.33
4. Step 4: Simplify right side
   1,159.30x = 1,016,416.82
5. Step 5: Solve for x
   x = 1,016,416.82/1,159.30
6. Step 6: Final answer
   x = 876.75