Finding the Fourth Proportional to 10,114.87, 13,958.32 and 5,638.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.87 : 13,958.32 = 5,638.35 : x
2. Step 2: Convert to fraction form
   10,114.87/13,958.32 = 5,638.35/x
3. Step 3: Cross multiply
   10,114.87x = 13,958.32 × 5,638.35
4. Step 4: Simplify right side
   10,114.87x = 78,701,887.28
5. Step 5: Solve for x
   x = 78,701,887.28/10,114.87
6. Step 6: Final answer
   x = 7,780.81