Finding the Fourth Proportional to 10,097.68, 13,934.67 and 5,621.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.68 : 13,934.67 = 5,621.44 : x
2. Step 2: Convert to fraction form
   10,097.68/13,934.67 = 5,621.44/x
3. Step 3: Cross multiply
   10,097.68x = 13,934.67 × 5,621.44
4. Step 4: Simplify right side
   10,097.68x = 78,332,911.32
5. Step 5: Solve for x
   x = 78,332,911.32/10,097.68
6. Step 6: Final answer
   x = 7,757.52