Finding the Fourth Proportional to 10,293.88, 14,205.56 and 5,578.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.88 : 14,205.56 = 5,578.16 : x
2. Step 2: Convert to fraction form
   10,293.88/14,205.56 = 5,578.16/x
3. Step 3: Cross multiply
   10,293.88x = 14,205.56 × 5,578.16
4. Step 4: Simplify right side
   10,293.88x = 79,240,886.57
5. Step 5: Solve for x
   x = 79,240,886.57/10,293.88
6. Step 6: Final answer
   x = 7,697.86