Finding the Fourth Proportional to 12,653.50, 17,461.86 and 7,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,653.50 : 17,461.86 = 7,064.50 : x
2. Step 2: Convert to fraction form
   12,653.50/17,461.86 = 7,064.50/x
3. Step 3: Cross multiply
   12,653.50x = 17,461.86 × 7,064.50
4. Step 4: Simplify right side
   12,653.50x = 123,359,309.97
5. Step 5: Solve for x
   x = 123,359,309.97/12,653.50
6. Step 6: Final answer
   x = 9,749.03