Finding the Fourth Proportional to 10,225.69, 15,330.31 and 5,780.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,225.69 : 15,330.31 = 5,780.61 : x
2. Step 2: Convert to fraction form
   10,225.69/15,330.31 = 5,780.61/x
3. Step 3: Cross multiply
   10,225.69x = 15,330.31 × 5,780.61
4. Step 4: Simplify right side
   10,225.69x = 88,618,528.84
5. Step 5: Solve for x
   x = 88,618,528.84/10,225.69
6. Step 6: Final answer
   x = 8,666.27