Finding the Fourth Proportional to 10,275.75, 14,180.39 and 5,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,275.75 : 14,180.39 = 5,738.50 : x
2. Step 2: Convert to fraction form
   10,275.75/14,180.39 = 5,738.50/x
3. Step 3: Cross multiply
   10,275.75x = 14,180.39 × 5,738.50
4. Step 4: Simplify right side
   10,275.75x = 81,374,097.11
5. Step 5: Solve for x
   x = 81,374,097.11/10,275.75
6. Step 6: Final answer
   x = 7,919.05