Finding the Fourth Proportional to 10,141.34, 13,994.24 and 5,664.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.34 : 13,994.24 = 5,664.74 : x
2. Step 2: Convert to fraction form
   10,141.34/13,994.24 = 5,664.74/x
3. Step 3: Cross multiply
   10,141.34x = 13,994.24 × 5,664.74
4. Step 4: Simplify right side
   10,141.34x = 79,273,731.10
5. Step 5: Solve for x
   x = 79,273,731.10/10,141.34
6. Step 6: Final answer
   x = 7,816.89