Finding the Fourth Proportional to 1,584.79, 2,377.72 and 892.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.79 : 2,377.72 = 892.82 : x
2. Step 2: Convert to fraction form
   1,584.79/2,377.72 = 892.82/x
3. Step 3: Cross multiply
   1,584.79x = 2,377.72 × 892.82
4. Step 4: Simplify right side
   1,584.79x = 2,122,861.85
5. Step 5: Solve for x
   x = 2,122,861.85/1,584.79
6. Step 6: Final answer
   x = 1,339.52