Finding the Fourth Proportional to 12,684.50, 17,509.25 and 7,648.93

Step by Step Solution

1. Step 1: Write the proportion equation
   12,684.50 : 17,509.25 = 7,648.93 : x
2. Step 2: Convert to fraction form
   12,684.50/17,509.25 = 7,648.93/x
3. Step 3: Cross multiply
   12,684.50x = 17,509.25 × 7,648.93
4. Step 4: Simplify right side
   12,684.50x = 133,926,901.81
5. Step 5: Solve for x
   x = 133,926,901.81/12,684.50
6. Step 6: Final answer
   x = 10,558.32