Finding the Fourth Proportional to 1,585.88, 2,376.69 and 892.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.88 : 2,376.69 = 892.27 : x
2. Step 2: Convert to fraction form
   1,585.88/2,376.69 = 892.27/x
3. Step 3: Cross multiply
   1,585.88x = 2,376.69 × 892.27
4. Step 4: Simplify right side
   1,585.88x = 2,120,640.46
5. Step 5: Solve for x
   x = 2,120,640.46/1,585.88
6. Step 6: Final answer
   x = 1,337.20