Finding the Fourth Proportional to 10,102.33, 13,941.22 and 5,626.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.33 : 13,941.22 = 5,626.94 : x
2. Step 2: Convert to fraction form
   10,102.33/13,941.22 = 5,626.94/x
3. Step 3: Cross multiply
   10,102.33x = 13,941.22 × 5,626.94
4. Step 4: Simplify right side
   10,102.33x = 78,446,408.47
5. Step 5: Solve for x
   x = 78,446,408.47/10,102.33
6. Step 6: Final answer
   x = 7,765.18