Finding the Fourth Proportional to 10,140.80, 13,994.16 and 5,664.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.80 : 13,994.16 = 5,664.62 : x
2. Step 2: Convert to fraction form
   10,140.80/13,994.16 = 5,664.62/x
3. Step 3: Cross multiply
   10,140.80x = 13,994.16 × 5,664.62
4. Step 4: Simplify right side
   10,140.80x = 79,271,528.65
5. Step 5: Solve for x
   x = 79,271,528.65/10,140.80
6. Step 6: Final answer
   x = 7,817.09