Finding the Fourth Proportional to 10,140.80, 13,994.23 and 5,664.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.80 : 13,994.23 = 5,664.51 : x
2. Step 2: Convert to fraction form
   10,140.80/13,994.23 = 5,664.51/x
3. Step 3: Cross multiply
   10,140.80x = 13,994.23 × 5,664.51
4. Step 4: Simplify right side
   10,140.80x = 79,270,385.81
5. Step 5: Solve for x
   x = 79,270,385.81/10,140.80
6. Step 6: Final answer
   x = 7,816.98