Finding the Fourth Proportional to 9,782.13, 14,664.42 and 3,540.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.13 : 14,664.42 = 3,540.72 : x
2. Step 2: Convert to fraction form
   9,782.13/14,664.42 = 3,540.72/x
3. Step 3: Cross multiply
   9,782.13x = 14,664.42 × 3,540.72
4. Step 4: Simplify right side
   9,782.13x = 51,922,605.18
5. Step 5: Solve for x
   x = 51,922,605.18/9,782.13
6. Step 6: Final answer
   x = 5,307.90