Finding the Fourth Proportional to 9,782.96, 14,675.96 and 3,542.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.96 : 14,675.96 = 3,542.31 : x
2. Step 2: Convert to fraction form
   9,782.96/14,675.96 = 3,542.31/x
3. Step 3: Cross multiply
   9,782.96x = 14,675.96 × 3,542.31
4. Step 4: Simplify right side
   9,782.96x = 51,986,808.72
5. Step 5: Solve for x
   x = 51,986,808.72/9,782.96
6. Step 6: Final answer
   x = 5,314.02