Finding the Fourth Proportional to 10,055.33, 13,876.58 and 5,578.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,055.33 : 13,876.58 = 5,578.92 : x
2. Step 2: Convert to fraction form
   10,055.33/13,876.58 = 5,578.92/x
3. Step 3: Cross multiply
   10,055.33x = 13,876.58 × 5,578.92
4. Step 4: Simplify right side
   10,055.33x = 77,416,260.31
5. Step 5: Solve for x
   x = 77,416,260.31/10,055.33
6. Step 6: Final answer
   x = 7,699.03