Finding the Fourth Proportional to 10,140.48, 13,994.61 and 5,664.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.48 : 13,994.61 = 5,664.42 : x
2. Step 2: Convert to fraction form
   10,140.48/13,994.61 = 5,664.42/x
3. Step 3: Cross multiply
   10,140.48x = 13,994.61 × 5,664.42
4. Step 4: Simplify right side
   10,140.48x = 79,271,348.78
5. Step 5: Solve for x
   x = 79,271,348.78/10,140.48
6. Step 6: Final answer
   x = 7,817.32