Finding the Fourth Proportional to 10,053.99, 13,874.76 and 5,578.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,053.99 : 13,874.76 = 5,578.47 : x
2. Step 2: Convert to fraction form
   10,053.99/13,874.76 = 5,578.47/x
3. Step 3: Cross multiply
   10,053.99x = 13,874.76 × 5,578.47
4. Step 4: Simplify right side
   10,053.99x = 77,399,932.42
5. Step 5: Solve for x
   x = 77,399,932.42/10,053.99
6. Step 6: Final answer
   x = 7,698.43