Finding the Fourth Proportional to 10,215.80, 14,097.62 and 5,678.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,215.80 : 14,097.62 = 5,678.76 : x
2. Step 2: Convert to fraction form
   10,215.80/14,097.62 = 5,678.76/x
3. Step 3: Cross multiply
   10,215.80x = 14,097.62 × 5,678.76
4. Step 4: Simplify right side
   10,215.80x = 80,057,000.55
5. Step 5: Solve for x
   x = 80,057,000.55/10,215.80
6. Step 6: Final answer
   x = 7,836.59