Finding the Fourth Proportional to 10,102.21, 13,940.05 and 5,626.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.21 : 13,940.05 = 5,626.37 : x
2. Step 2: Convert to fraction form
   10,102.21/13,940.05 = 5,626.37/x
3. Step 3: Cross multiply
   10,102.21x = 13,940.05 × 5,626.37
4. Step 4: Simplify right side
   10,102.21x = 78,431,920.77
5. Step 5: Solve for x
   x = 78,431,920.77/10,102.21
6. Step 6: Final answer
   x = 7,763.84