Finding the Fourth Proportional to 1,159.98, 1,600.82 and 636.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.98 : 1,600.82 = 636.02 : x
2. Step 2: Convert to fraction form
   1,159.98/1,600.82 = 636.02/x
3. Step 3: Cross multiply
   1,159.98x = 1,600.82 × 636.02
4. Step 4: Simplify right side
   1,159.98x = 1,018,142.35
5. Step 5: Solve for x
   x = 1,018,142.35/1,159.98
6. Step 6: Final answer
   x = 877.72