Finding the Fourth Proportional to 10,293.78, 14,205.45 and 5,578.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.78 : 14,205.45 = 5,578.07 : x
2. Step 2: Convert to fraction form
   10,293.78/14,205.45 = 5,578.07/x
3. Step 3: Cross multiply
   10,293.78x = 14,205.45 × 5,578.07
4. Step 4: Simplify right side
   10,293.78x = 79,238,994.48
5. Step 5: Solve for x
   x = 79,238,994.48/10,293.78
6. Step 6: Final answer
   x = 7,697.75