Finding the Fourth Proportional to 10,102.16, 13,939.98 and 5,626.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.16 : 13,939.98 = 5,626.33 : x
2. Step 2: Convert to fraction form
   10,102.16/13,939.98 = 5,626.33/x
3. Step 3: Cross multiply
   10,102.16x = 13,939.98 × 5,626.33
4. Step 4: Simplify right side
   10,102.16x = 78,430,903.37
5. Step 5: Solve for x
   x = 78,430,903.37/10,102.16
6. Step 6: Final answer
   x = 7,763.78