Finding the Fourth Proportional to 10,118.82, 13,964.34 and 5,643.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.82 : 13,964.34 = 5,643.54 : x
2. Step 2: Convert to fraction form
   10,118.82/13,964.34 = 5,643.54/x
3. Step 3: Cross multiply
   10,118.82x = 13,964.34 × 5,643.54
4. Step 4: Simplify right side
   10,118.82x = 78,808,311.36
5. Step 5: Solve for x
   x = 78,808,311.36/10,118.82
6. Step 6: Final answer
   x = 7,788.29