Finding the Fourth Proportional to 10,102.81, 13,940.22 and 5,626.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.81 : 13,940.22 = 5,626.45 : x
2. Step 2: Convert to fraction form
   10,102.81/13,940.22 = 5,626.45/x
3. Step 3: Cross multiply
   10,102.81x = 13,940.22 × 5,626.45
4. Step 4: Simplify right side
   10,102.81x = 78,433,950.82
5. Step 5: Solve for x
   x = 78,433,950.82/10,102.81
6. Step 6: Final answer
   x = 7,763.58