Finding the Fourth Proportional to 1,159.88, 1,600.56 and 687.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.88 : 1,600.56 = 687.76 : x
2. Step 2: Convert to fraction form
   1,159.88/1,600.56 = 687.76/x
3. Step 3: Cross multiply
   1,159.88x = 1,600.56 × 687.76
4. Step 4: Simplify right side
   1,159.88x = 1,100,801.15
5. Step 5: Solve for x
   x = 1,100,801.15/1,159.88
6. Step 6: Final answer
   x = 949.06