Finding the Fourth Proportional to 12,814.56, 17,684.01 and 7,508.34

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814.56 : 17,684.01 = 7,508.34 : x
2. Step 2: Convert to fraction form
   12,814.56/17,684.01 = 7,508.34/x
3. Step 3: Cross multiply
   12,814.56x = 17,684.01 × 7,508.34
4. Step 4: Simplify right side
   12,814.56x = 132,777,559.64
5. Step 5: Solve for x
   x = 132,777,559.64/12,814.56
6. Step 6: Final answer
   x = 10,361.46