Finding the Fourth Proportional to 10,294.33, 14,206.17 and 5,578.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.33 : 14,206.17 = 5,578.61 : x
2. Step 2: Convert to fraction form
   10,294.33/14,206.17 = 5,578.61/x
3. Step 3: Cross multiply
   10,294.33x = 14,206.17 × 5,578.61
4. Step 4: Simplify right side
   10,294.33x = 79,250,682.02
5. Step 5: Solve for x
   x = 79,250,682.02/10,294.33
6. Step 6: Final answer
   x = 7,698.48