Finding the Fourth Proportional to 9,642.42, 13,301.94 and 5,609.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.42 : 13,301.94 = 5,609.22 : x
2. Step 2: Convert to fraction form
   9,642.42/13,301.94 = 5,609.22/x
3. Step 3: Cross multiply
   9,642.42x = 13,301.94 × 5,609.22
4. Step 4: Simplify right side
   9,642.42x = 74,613,507.89
5. Step 5: Solve for x
   x = 74,613,507.89/9,642.42
6. Step 6: Final answer
   x = 7,738.05