Finding the Fourth Proportional to 1,159.83, 1,600.50 and 635.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.83 : 1,600.50 = 635.82 : x
2. Step 2: Convert to fraction form
   1,159.83/1,600.50 = 635.82/x
3. Step 3: Cross multiply
   1,159.83x = 1,600.50 × 635.82
4. Step 4: Simplify right side
   1,159.83x = 1,017,629.91
5. Step 5: Solve for x
   x = 1,017,629.91/1,159.83
6. Step 6: Final answer
   x = 877.40