Finding the Fourth Proportional to 9,733.50, 14,601.40 and 3,494.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,733.50 : 14,601.40 = 3,494.16 : x
2. Step 2: Convert to fraction form
   9,733.50/14,601.40 = 3,494.16/x
3. Step 3: Cross multiply
   9,733.50x = 14,601.40 × 3,494.16
4. Step 4: Simplify right side
   9,733.50x = 51,019,627.82
5. Step 5: Solve for x
   x = 51,019,627.82/9,733.50
6. Step 6: Final answer
   x = 5,241.65