Finding the Fourth Proportional to 1,159.98, 1,600.80 and 687.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.98 : 1,600.80 = 687.87 : x
2. Step 2: Convert to fraction form
   1,159.98/1,600.80 = 687.87/x
3. Step 3: Cross multiply
   1,159.98x = 1,600.80 × 687.87
4. Step 4: Simplify right side
   1,159.98x = 1,101,142.30
5. Step 5: Solve for x
   x = 1,101,142.30/1,159.98
6. Step 6: Final answer
   x = 949.28