Finding the Fourth Proportional to 10,140.82, 13,994.34 and 5,664.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.82 : 13,994.34 = 5,664.57 : x
2. Step 2: Convert to fraction form
   10,140.82/13,994.34 = 5,664.57/x
3. Step 3: Cross multiply
   10,140.82x = 13,994.34 × 5,664.57
4. Step 4: Simplify right side
   10,140.82x = 79,271,848.56
5. Step 5: Solve for x
   x = 79,271,848.56/10,140.82
6. Step 6: Final answer
   x = 7,817.10