Finding the Fourth Proportional to 1,159.42, 1,599.98 and 635.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.42 : 1,599.98 = 635.45 : x
2. Step 2: Convert to fraction form
   1,159.42/1,599.98 = 635.45/x
3. Step 3: Cross multiply
   1,159.42x = 1,599.98 × 635.45
4. Step 4: Simplify right side
   1,159.42x = 1,016,707.29
5. Step 5: Solve for x
   x = 1,016,707.29/1,159.42
6. Step 6: Final answer
   x = 876.91