Finding the Fourth Proportional to 10,293.77, 14,205.42 and 5,578.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.77 : 14,205.42 = 5,578.05 : x
2. Step 2: Convert to fraction form
   10,293.77/14,205.42 = 5,578.05/x
3. Step 3: Cross multiply
   10,293.77x = 14,205.42 × 5,578.05
4. Step 4: Simplify right side
   10,293.77x = 79,238,543.03
5. Step 5: Solve for x
   x = 79,238,543.03/10,293.77
6. Step 6: Final answer
   x = 7,697.72