Finding the Fourth Proportional to 1,540.50, 2,125.89 and 841.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.50 : 2,125.89 = 841.92 : x
2. Step 2: Convert to fraction form
   1,540.50/2,125.89 = 841.92/x
3. Step 3: Cross multiply
   1,540.50x = 2,125.89 × 841.92
4. Step 4: Simplify right side
   1,540.50x = 1,789,829.31
5. Step 5: Solve for x
   x = 1,789,829.31/1,540.50
6. Step 6: Final answer
   x = 1,161.85