Finding the Fourth Proportional to 10,418.55, 14,377.60 and 5,638.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,418.55 : 14,377.60 = 5,638.49 : x
2. Step 2: Convert to fraction form
   10,418.55/14,377.60 = 5,638.49/x
3. Step 3: Cross multiply
   10,418.55x = 14,377.60 × 5,638.49
4. Step 4: Simplify right side
   10,418.55x = 81,067,975.67
5. Step 5: Solve for x
   x = 81,067,975.67/10,418.55
6. Step 6: Final answer
   x = 7,781.12