Finding the Fourth Proportional to 10,114.47, 13,957.79 and 5,638.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.47 : 13,957.79 = 5,638.55 : x
2. Step 2: Convert to fraction form
   10,114.47/13,957.79 = 5,638.55/x
3. Step 3: Cross multiply
   10,114.47x = 13,957.79 × 5,638.55
4. Step 4: Simplify right side
   10,114.47x = 78,701,598.82
5. Step 5: Solve for x
   x = 78,701,598.82/10,114.47
6. Step 6: Final answer
   x = 7,781.09