Finding the Fourth Proportional to 9,642.67, 13,305.08 and 5,662.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.67 : 13,305.08 = 5,662.33 : x
2. Step 2: Convert to fraction form
   9,642.67/13,305.08 = 5,662.33/x
3. Step 3: Cross multiply
   9,642.67x = 13,305.08 × 5,662.33
4. Step 4: Simplify right side
   9,642.67x = 75,337,734.53
5. Step 5: Solve for x
   x = 75,337,734.53/9,642.67
6. Step 6: Final answer
   x = 7,812.96