Finding the Fourth Proportional to 5,659.88, 7,810.56 and 3,142

Step by Step Solution

1. Step 1: Write the proportion equation
   5,659.88 : 7,810.56 = 3,142 : x
2. Step 2: Convert to fraction form
   5,659.88/7,810.56 = 3,142/x
3. Step 3: Cross multiply
   5,659.88x = 7,810.56 × 3,142
4. Step 4: Simplify right side
   5,659.88x = 24,540,779.52
5. Step 5: Solve for x
   x = 24,540,779.52/5,659.88
6. Step 6: Final answer
   x = 4,335.92