Finding the Fourth Proportional to 10,118.94, 13,964.10 and 5,642.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.94 : 13,964.10 = 5,642.57 : x
2. Step 2: Convert to fraction form
   10,118.94/13,964.10 = 5,642.57/x
3. Step 3: Cross multiply
   10,118.94x = 13,964.10 × 5,642.57
4. Step 4: Simplify right side
   10,118.94x = 78,793,425.49
5. Step 5: Solve for x
   x = 78,793,425.49/10,118.94
6. Step 6: Final answer
   x = 7,786.73