Finding the Fourth Proportional to 10,097.12, 13,934.57 and 5,621.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.12 : 13,934.57 = 5,621.27 : x
2. Step 2: Convert to fraction form
   10,097.12/13,934.57 = 5,621.27/x
3. Step 3: Cross multiply
   10,097.12x = 13,934.57 × 5,621.27
4. Step 4: Simplify right side
   10,097.12x = 78,329,882.52
5. Step 5: Solve for x
   x = 78,329,882.52/10,097.12
6. Step 6: Final answer
   x = 7,757.64