Finding the Fourth Proportional to 9,782.22, 14,664.56 and 3,540.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.22 : 14,664.56 = 3,540.77 : x
2. Step 2: Convert to fraction form
   9,782.22/14,664.56 = 3,540.77/x
3. Step 3: Cross multiply
   9,782.22x = 14,664.56 × 3,540.77
4. Step 4: Simplify right side
   9,782.22x = 51,923,834.11
5. Step 5: Solve for x
   x = 51,923,834.11/9,782.22
6. Step 6: Final answer
   x = 5,307.98