Finding the Fourth Proportional to 10,514.41, 14,509.76 and 5,734.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.41 : 14,509.76 = 5,734.34 : x
2. Step 2: Convert to fraction form
   10,514.41/14,509.76 = 5,734.34/x
3. Step 3: Cross multiply
   10,514.41x = 14,509.76 × 5,734.34
4. Step 4: Simplify right side
   10,514.41x = 83,203,838.95
5. Step 5: Solve for x
   x = 83,203,838.95/10,514.41
6. Step 6: Final answer
   x = 7,913.32