Finding the Fourth Proportional to 10,114.43, 13,957.79 and 5,638.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.43 : 13,957.79 = 5,638.19 : x
2. Step 2: Convert to fraction form
   10,114.43/13,957.79 = 5,638.19/x
3. Step 3: Cross multiply
   10,114.43x = 13,957.79 × 5,638.19
4. Step 4: Simplify right side
   10,114.43x = 78,696,574.02
5. Step 5: Solve for x
   x = 78,696,574.02/10,114.43
6. Step 6: Final answer
   x = 7,780.63