Finding the Fourth Proportional to 10,518.96, 14,516.20 and 5,738.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,518.96 : 14,516.20 = 5,738.95 : x
2. Step 2: Convert to fraction form
   10,518.96/14,516.20 = 5,738.95/x
3. Step 3: Cross multiply
   10,518.96x = 14,516.20 × 5,738.95
4. Step 4: Simplify right side
   10,518.96x = 83,307,724.05
5. Step 5: Solve for x
   x = 83,307,724.05/10,518.96
6. Step 6: Final answer
   x = 7,919.77