Finding the Fourth Proportional to 10,114.35, 13,957.85 and 5,638.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.35 : 13,957.85 = 5,638.18 : x
2. Step 2: Convert to fraction form
   10,114.35/13,957.85 = 5,638.18/x
3. Step 3: Cross multiply
   10,114.35x = 13,957.85 × 5,638.18
4. Step 4: Simplify right side
   10,114.35x = 78,696,800.92
5. Step 5: Solve for x
   x = 78,696,800.92/10,114.35
6. Step 6: Final answer
   x = 7,780.71