Finding the Fourth Proportional to 10,140.57, 13,994.00 and 5,664.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.57 : 13,994.00 = 5,664.32 : x
2. Step 2: Convert to fraction form
   10,140.57/13,994.00 = 5,664.32/x
3. Step 3: Cross multiply
   10,140.57x = 13,994.00 × 5,664.32
4. Step 4: Simplify right side
   10,140.57x = 79,266,395.79
5. Step 5: Solve for x
   x = 79,266,395.79/10,140.57
6. Step 6: Final answer
   x = 7,816.76