Finding the Fourth Proportional to 10,078.75, 13,908.84 and 5,541.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.75 : 13,908.84 = 5,541.62 : x
2. Step 2: Convert to fraction form
   10,078.75/13,908.84 = 5,541.62/x
3. Step 3: Cross multiply
   10,078.75x = 13,908.84 × 5,541.62
4. Step 4: Simplify right side
   10,078.75x = 77,077,492.07
5. Step 5: Solve for x
   x = 77,077,492.07/10,078.75
6. Step 6: Final answer
   x = 7,647.53