Finding the Fourth Proportional to 10,514.59, 14,510.14 and 5,734.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.59 : 14,510.14 = 5,734.54 : x
2. Step 2: Convert to fraction form
   10,514.59/14,510.14 = 5,734.54/x
3. Step 3: Cross multiply
   10,514.59x = 14,510.14 × 5,734.54
4. Step 4: Simplify right side
   10,514.59x = 83,208,905.68
5. Step 5: Solve for x
   x = 83,208,905.68/10,514.59
6. Step 6: Final answer
   x = 7,913.67