Finding the Fourth Proportional to 10,103.77, 13,938.38 and 7,850.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,103.77 : 13,938.38 = 7,850.23 : x
2. Step 2: Convert to fraction form
   10,103.77/13,938.38 = 7,850.23/x
3. Step 3: Cross multiply
   10,103.77x = 13,938.38 × 7,850.23
4. Step 4: Simplify right side
   10,103.77x = 109,419,488.83
5. Step 5: Solve for x
   x = 109,419,488.83/10,103.77
6. Step 6: Final answer
   x = 10,829.57