Finding the Fourth Proportional to 9,678.83, 14,519.32 and 3,102.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.83 : 14,519.32 = 3,102.71 : x
2. Step 2: Convert to fraction form
   9,678.83/14,519.32 = 3,102.71/x
3. Step 3: Cross multiply
   9,678.83x = 14,519.32 × 3,102.71
4. Step 4: Simplify right side
   9,678.83x = 45,049,159.00
5. Step 5: Solve for x
   x = 45,049,159.00/9,678.83
6. Step 6: Final answer
   x = 4,654.40