Finding the Fourth Proportional to 10,141.67, 13,994.12 and 5,664.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.67 : 13,994.12 = 5,664.87 : x
2. Step 2: Convert to fraction form
   10,141.67/13,994.12 = 5,664.87/x
3. Step 3: Cross multiply
   10,141.67x = 13,994.12 × 5,664.87
4. Step 4: Simplify right side
   10,141.67x = 79,274,884.73
5. Step 5: Solve for x
   x = 79,274,884.73/10,141.67
6. Step 6: Final answer
   x = 7,816.75