Finding the Fourth Proportional to 10,141.30, 13,994.67 and 5,664.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.30 : 13,994.67 = 5,664.97 : x
2. Step 2: Convert to fraction form
   10,141.30/13,994.67 = 5,664.97/x
3. Step 3: Cross multiply
   10,141.30x = 13,994.67 × 5,664.97
4. Step 4: Simplify right side
   10,141.30x = 79,279,385.71
5. Step 5: Solve for x
   x = 79,279,385.71/10,141.30
6. Step 6: Final answer
   x = 7,817.48