Finding the Fourth Proportional to 10,684.15, 14,749.16 and 7,514.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684.15 : 14,749.16 = 7,514.14 : x
2. Step 2: Convert to fraction form
   10,684.15/14,749.16 = 7,514.14/x
3. Step 3: Cross multiply
   10,684.15x = 14,749.16 × 7,514.14
4. Step 4: Simplify right side
   10,684.15x = 110,827,253.12
5. Step 5: Solve for x
   x = 110,827,253.12/10,684.15
6. Step 6: Final answer
   x = 10,373.05