Finding the Fourth Proportional to 9,031.65, 12,465.20 and 5,675.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,031.65 : 12,465.20 = 5,675.82 : x
2. Step 2: Convert to fraction form
   9,031.65/12,465.20 = 5,675.82/x
3. Step 3: Cross multiply
   9,031.65x = 12,465.20 × 5,675.82
4. Step 4: Simplify right side
   9,031.65x = 70,750,231.46
5. Step 5: Solve for x
   x = 70,750,231.46/9,031.65
6. Step 6: Final answer
   x = 7,833.59