Finding the Fourth Proportional to 9,655.86, 13,323.99 and 5,406.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,655.86 : 13,323.99 = 5,406.33 : x
2. Step 2: Convert to fraction form
   9,655.86/13,323.99 = 5,406.33/x
3. Step 3: Cross multiply
   9,655.86x = 13,323.99 × 5,406.33
4. Step 4: Simplify right side
   9,655.86x = 72,033,859.83
5. Step 5: Solve for x
   x = 72,033,859.83/9,655.86
6. Step 6: Final answer
   x = 7,460.12