Finding the Fourth Proportional to 9,622.34, 13,278.74 and 5,642.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,622.34 : 13,278.74 = 5,642.71 : x
2. Step 2: Convert to fraction form
   9,622.34/13,278.74 = 5,642.71/x
3. Step 3: Cross multiply
   9,622.34x = 13,278.74 × 5,642.71
4. Step 4: Simplify right side
   9,622.34x = 74,928,092.27
5. Step 5: Solve for x
   x = 74,928,092.27/9,622.34
6. Step 6: Final answer
   x = 7,786.89