Finding the Fourth Proportional to 9,543.78, 14,311.89 and 3,698.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,543.78 : 14,311.89 = 3,698.82 : x
2. Step 2: Convert to fraction form
   9,543.78/14,311.89 = 3,698.82/x
3. Step 3: Cross multiply
   9,543.78x = 14,311.89 × 3,698.82
4. Step 4: Simplify right side
   9,543.78x = 52,937,104.97
5. Step 5: Solve for x
   x = 52,937,104.97/9,543.78
6. Step 6: Final answer
   x = 5,546.77