Finding the Fourth Proportional to 9,655.82, 13,325.70 and 5,407.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,655.82 : 13,325.70 = 5,407.28 : x
2. Step 2: Convert to fraction form
   9,655.82/13,325.70 = 5,407.28/x
3. Step 3: Cross multiply
   9,655.82x = 13,325.70 × 5,407.28
4. Step 4: Simplify right side
   9,655.82x = 72,055,791.10
5. Step 5: Solve for x
   x = 72,055,791.10/9,655.82
6. Step 6: Final answer
   x = 7,462.42