Finding the Fourth Proportional to 10,140.30, 13,993.47 and 5,664.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.30 : 13,993.47 = 5,664.12 : x
2. Step 2: Convert to fraction form
   10,140.30/13,993.47 = 5,664.12/x
3. Step 3: Cross multiply
   10,140.30x = 13,993.47 × 5,664.12
4. Step 4: Simplify right side
   10,140.30x = 79,260,693.30
5. Step 5: Solve for x
   x = 79,260,693.30/10,140.30
6. Step 6: Final answer
   x = 7,816.41