Finding the Fourth Proportional to 9,648.50, 14,474.07 and 3,407.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648.50 : 14,474.07 = 3,407.06 : x
2. Step 2: Convert to fraction form
   9,648.50/14,474.07 = 3,407.06/x
3. Step 3: Cross multiply
   9,648.50x = 14,474.07 × 3,407.06
4. Step 4: Simplify right side
   9,648.50x = 49,314,024.93
5. Step 5: Solve for x
   x = 49,314,024.93/9,648.50
6. Step 6: Final answer
   x = 5,111.06