Finding the Fourth Proportional to 10,214.52, 14,095.72 and 5,738.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.52 : 14,095.72 = 5,738.76 : x
2. Step 2: Convert to fraction form
   10,214.52/14,095.72 = 5,738.76/x
3. Step 3: Cross multiply
   10,214.52x = 14,095.72 × 5,738.76
4. Step 4: Simplify right side
   10,214.52x = 80,891,954.11
5. Step 5: Solve for x
   x = 80,891,954.11/10,214.52
6. Step 6: Final answer
   x = 7,919.31