Finding the Fourth Proportional to 9,678.06, 14,516.69 and 3,753.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.06 : 14,516.69 = 3,753.32 : x
2. Step 2: Convert to fraction form
   9,678.06/14,516.69 = 3,753.32/x
3. Step 3: Cross multiply
   9,678.06x = 14,516.69 × 3,753.32
4. Step 4: Simplify right side
   9,678.06x = 54,485,691.56
5. Step 5: Solve for x
   x = 54,485,691.56/9,678.06
6. Step 6: Final answer
   x = 5,629.82