Finding the Fourth Proportional to 9,300.34, 12,824.22 and 6,646.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,300.34 : 12,824.22 = 6,646.78 : x
2. Step 2: Convert to fraction form
   9,300.34/12,824.22 = 6,646.78/x
3. Step 3: Cross multiply
   9,300.34x = 12,824.22 × 6,646.78
4. Step 4: Simplify right side
   9,300.34x = 85,239,769.01
5. Step 5: Solve for x
   x = 85,239,769.01/9,300.34
6. Step 6: Final answer
   x = 9,165.23