Finding the Fourth Proportional to 9,656.41, 13,322.74 and 5,406.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,656.41 : 13,322.74 = 5,406.84 : x
2. Step 2: Convert to fraction form
   9,656.41/13,322.74 = 5,406.84/x
3. Step 3: Cross multiply
   9,656.41x = 13,322.74 × 5,406.84
4. Step 4: Simplify right side
   9,656.41x = 72,033,923.54
5. Step 5: Solve for x
   x = 72,033,923.54/9,656.41
6. Step 6: Final answer
   x = 7,459.70