Finding the Fourth Proportional to 10,054.66, 13,875.09 and 5,578.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.66 : 13,875.09 = 5,578.30 : x
2. Step 2: Convert to fraction form
   10,054.66/13,875.09 = 5,578.30/x
3. Step 3: Cross multiply
   10,054.66x = 13,875.09 × 5,578.30
4. Step 4: Simplify right side
   10,054.66x = 77,399,414.55
5. Step 5: Solve for x
   x = 77,399,414.55/10,054.66
6. Step 6: Final answer
   x = 7,697.86