Finding the Fourth Proportional to 10,140.51, 13,993.59 and 5,664.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.51 : 13,993.59 = 5,664.24 : x
2. Step 2: Convert to fraction form
   10,140.51/13,993.59 = 5,664.24/x
3. Step 3: Cross multiply
   10,140.51x = 13,993.59 × 5,664.24
4. Step 4: Simplify right side
   10,140.51x = 79,263,052.22
5. Step 5: Solve for x
   x = 79,263,052.22/10,140.51
6. Step 6: Final answer
   x = 7,816.48