Finding the Fourth Proportional to 10,141.03, 13,994.50 and 5,664.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.03 : 13,994.50 = 5,664.97 : x
2. Step 2: Convert to fraction form
   10,141.03/13,994.50 = 5,664.97/x
3. Step 3: Cross multiply
   10,141.03x = 13,994.50 × 5,664.97
4. Step 4: Simplify right side
   10,141.03x = 79,278,422.67
5. Step 5: Solve for x
   x = 79,278,422.67/10,141.03
6. Step 6: Final answer
   x = 7,817.59