Finding the Fourth Proportional to 1,540.69, 2,126.15 and 842.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.69 : 2,126.15 = 842.06 : x
2. Step 2: Convert to fraction form
   1,540.69/2,126.15 = 842.06/x
3. Step 3: Cross multiply
   1,540.69x = 2,126.15 × 842.06
4. Step 4: Simplify right side
   1,540.69x = 1,790,350.13
5. Step 5: Solve for x
   x = 1,790,350.13/1,540.69
6. Step 6: Final answer
   x = 1,162.05