Finding the Fourth Proportional to 10,114.56, 13,957.80 and 5,638.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.56 : 13,957.80 = 5,638.20 : x
2. Step 2: Convert to fraction form
   10,114.56/13,957.80 = 5,638.20/x
3. Step 3: Cross multiply
   10,114.56x = 13,957.80 × 5,638.20
4. Step 4: Simplify right side
   10,114.56x = 78,696,867.96
5. Step 5: Solve for x
   x = 78,696,867.96/10,114.56
6. Step 6: Final answer
   x = 7,780.55