Finding the Fourth Proportional to 9,655.42, 13,323.34 and 5,406.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,655.42 : 13,323.34 = 5,406.71 : x
2. Step 2: Convert to fraction form
   9,655.42/13,323.34 = 5,406.71/x
3. Step 3: Cross multiply
   9,655.42x = 13,323.34 × 5,406.71
4. Step 4: Simplify right side
   9,655.42x = 72,035,435.61
5. Step 5: Solve for x
   x = 72,035,435.61/9,655.42
6. Step 6: Final answer
   x = 7,460.62