Finding the Fourth Proportional to 9,286.32, 12,814.29 and 5,307.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,286.32 : 12,814.29 = 5,307.42 : x
2. Step 2: Convert to fraction form
   9,286.32/12,814.29 = 5,307.42/x
3. Step 3: Cross multiply
   9,286.32x = 12,814.29 × 5,307.42
4. Step 4: Simplify right side
   9,286.32x = 68,010,819.03
5. Step 5: Solve for x
   x = 68,010,819.03/9,286.32
6. Step 6: Final answer
   x = 7,323.76