Finding the Fourth Proportional to 10,140.72, 13,994.26 and 5,664.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.72 : 13,994.26 = 5,664.86 : x
2. Step 2: Convert to fraction form
   10,140.72/13,994.26 = 5,664.86/x
3. Step 3: Cross multiply
   10,140.72x = 13,994.26 × 5,664.86
4. Step 4: Simplify right side
   10,140.72x = 79,275,523.70
5. Step 5: Solve for x
   x = 79,275,523.70/10,140.72
6. Step 6: Final answer
   x = 7,817.54