Finding the Fourth Proportional to 1,586.76, 2,377.71 and 892.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.76 : 2,377.71 = 892.59 : x
2. Step 2: Convert to fraction form
   1,586.76/2,377.71 = 892.59/x
3. Step 3: Cross multiply
   1,586.76x = 2,377.71 × 892.59
4. Step 4: Simplify right side
   1,586.76x = 2,122,320.17
5. Step 5: Solve for x
   x = 2,122,320.17/1,586.76
6. Step 6: Final answer
   x = 1,337.52