Finding the Fourth Proportional to 9,655.56, 13,324.54 and 5,406.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,655.56 : 13,324.54 = 5,406.55 : x
2. Step 2: Convert to fraction form
   9,655.56/13,324.54 = 5,406.55/x
3. Step 3: Cross multiply
   9,655.56x = 13,324.54 × 5,406.55
4. Step 4: Simplify right side
   9,655.56x = 72,039,791.74
5. Step 5: Solve for x
   x = 72,039,791.74/9,655.56
6. Step 6: Final answer
   x = 7,460.96