Finding the Fourth Proportional to 9,778.96, 14,669.97 and 3,538.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.96 : 14,669.97 = 3,538.31 : x
2. Step 2: Convert to fraction form
   9,778.96/14,669.97 = 3,538.31/x
3. Step 3: Cross multiply
   9,778.96x = 14,669.97 × 3,538.31
4. Step 4: Simplify right side
   9,778.96x = 51,906,883.86
5. Step 5: Solve for x
   x = 51,906,883.86/9,778.96
6. Step 6: Final answer
   x = 5,308.02