Finding the Fourth Proportional to 10,055.84, 13,876.96 and 5,579.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,055.84 : 13,876.96 = 5,579.60 : x
2. Step 2: Convert to fraction form
   10,055.84/13,876.96 = 5,579.60/x
3. Step 3: Cross multiply
   10,055.84x = 13,876.96 × 5,579.60
4. Step 4: Simplify right side
   10,055.84x = 77,427,886.02
5. Step 5: Solve for x
   x = 77,427,886.02/10,055.84
6. Step 6: Final answer
   x = 7,699.79