Finding the Fourth Proportional to 1,540.42, 2,125.81 and 841.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.42 : 2,125.81 = 841.82 : x
2. Step 2: Convert to fraction form
   1,540.42/2,125.81 = 841.82/x
3. Step 3: Cross multiply
   1,540.42x = 2,125.81 × 841.82
4. Step 4: Simplify right side
   1,540.42x = 1,789,549.37
5. Step 5: Solve for x
   x = 1,789,549.37/1,540.42
6. Step 6: Final answer
   x = 1,161.73