Finding the Fourth Proportional to 5,142.34, 7,726.20 and 3,294.26

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142.34 : 7,726.20 = 3,294.26 : x
2. Step 2: Convert to fraction form
   5,142.34/7,726.20 = 3,294.26/x
3. Step 3: Cross multiply
   5,142.34x = 7,726.20 × 3,294.26
4. Step 4: Simplify right side
   5,142.34x = 25,452,111.61
5. Step 5: Solve for x
   x = 25,452,111.61/5,142.34
6. Step 6: Final answer
   x = 4,949.52