Finding the Fourth Proportional to 9,782.22, 14,658.72 and 3,935.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.22 : 14,658.72 = 3,935.64 : x
2. Step 2: Convert to fraction form
   9,782.22/14,658.72 = 3,935.64/x
3. Step 3: Cross multiply
   9,782.22x = 14,658.72 × 3,935.64
4. Step 4: Simplify right side
   9,782.22x = 57,691,444.78
5. Step 5: Solve for x
   x = 57,691,444.78/9,782.22
6. Step 6: Final answer
   x = 5,897.58