Finding the Fourth Proportional to 8,993.75, 12,419.17 and 5,642.33

Step by Step Solution

1. Step 1: Write the proportion equation
   8,993.75 : 12,419.17 = 5,642.33 : x
2. Step 2: Convert to fraction form
   8,993.75/12,419.17 = 5,642.33/x
3. Step 3: Cross multiply
   8,993.75x = 12,419.17 × 5,642.33
4. Step 4: Simplify right side
   8,993.75x = 70,073,011.00
5. Step 5: Solve for x
   x = 70,073,011.00/8,993.75
6. Step 6: Final answer
   x = 7,791.30