Finding the Fourth Proportional to 1,609.34, 2,414.89 and 787.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.34 : 2,414.89 = 787.61 : x
2. Step 2: Convert to fraction form
   1,609.34/2,414.89 = 787.61/x
3. Step 3: Cross multiply
   1,609.34x = 2,414.89 × 787.61
4. Step 4: Simplify right side
   1,609.34x = 1,901,998.53
5. Step 5: Solve for x
   x = 1,901,998.53/1,609.34
6. Step 6: Final answer
   x = 1,181.85