Finding the Fourth Proportional to 5,659.90, 7,810.59 and 3,142.01

Step by Step Solution

1. Step 1: Write the proportion equation
   5,659.90 : 7,810.59 = 3,142.01 : x
2. Step 2: Convert to fraction form
   5,659.90/7,810.59 = 3,142.01/x
3. Step 3: Cross multiply
   5,659.90x = 7,810.59 × 3,142.01
4. Step 4: Simplify right side
   5,659.90x = 24,540,912.83
5. Step 5: Solve for x
   x = 24,540,912.83/5,659.90
6. Step 6: Final answer
   x = 4,335.93