Finding the Fourth Proportional to 9,655.20, 13,323.15 and 5,677.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,655.20 : 13,323.15 = 5,677.56 : x
2. Step 2: Convert to fraction form
   9,655.20/13,323.15 = 5,677.56/x
3. Step 3: Cross multiply
   9,655.20x = 13,323.15 × 5,677.56
4. Step 4: Simplify right side
   9,655.20x = 75,642,983.51
5. Step 5: Solve for x
   x = 75,642,983.51/9,655.20
6. Step 6: Final answer
   x = 7,834.43