Finding the Fourth Proportional to 10,114.07, 13,957.52 and 5,638.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.07 : 13,957.52 = 5,638.21 : x
2. Step 2: Convert to fraction form
   10,114.07/13,957.52 = 5,638.21/x
3. Step 3: Cross multiply
   10,114.07x = 13,957.52 × 5,638.21
4. Step 4: Simplify right side
   10,114.07x = 78,695,365.75
5. Step 5: Solve for x
   x = 78,695,365.75/10,114.07
6. Step 6: Final answer
   x = 7,780.79