Finding the Fourth Proportional to 1,540.96, 2,126.52 and 842.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.96 : 2,126.52 = 842.33 : x
2. Step 2: Convert to fraction form
   1,540.96/2,126.52 = 842.33/x
3. Step 3: Cross multiply
   1,540.96x = 2,126.52 × 842.33
4. Step 4: Simplify right side
   1,540.96x = 1,791,227.38
5. Step 5: Solve for x
   x = 1,791,227.38/1,540.96
6. Step 6: Final answer
   x = 1,162.41