Finding the Fourth Proportional to 10,120.42, 13,965.81 and 5,644.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120.42 : 13,965.81 = 5,644.10 : x
2. Step 2: Convert to fraction form
   10,120.42/13,965.81 = 5,644.10/x
3. Step 3: Cross multiply
   10,120.42x = 13,965.81 × 5,644.10
4. Step 4: Simplify right side
   10,120.42x = 78,824,428.22
5. Step 5: Solve for x
   x = 78,824,428.22/10,120.42
6. Step 6: Final answer
   x = 7,788.65