Finding the Fourth Proportional to 10,214.99, 14,096.70 and 5,738.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.99 : 14,096.70 = 5,738.75 : x
2. Step 2: Convert to fraction form
   10,214.99/14,096.70 = 5,738.75/x
3. Step 3: Cross multiply
   10,214.99x = 14,096.70 × 5,738.75
4. Step 4: Simplify right side
   10,214.99x = 80,897,366.64
5. Step 5: Solve for x
   x = 80,897,366.64/10,214.99
6. Step 6: Final answer
   x = 7,919.48