Finding the Fourth Proportional to 1,160.27, 1,599.83 and 787.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.27 : 1,599.83 = 787.49 : x
2. Step 2: Convert to fraction form
   1,160.27/1,599.83 = 787.49/x
3. Step 3: Cross multiply
   1,160.27x = 1,599.83 × 787.49
4. Step 4: Simplify right side
   1,160.27x = 1,259,847.14
5. Step 5: Solve for x
   x = 1,259,847.14/1,160.27
6. Step 6: Final answer
   x = 1,085.82