Finding the Fourth Proportional to 10,097.88, 13,934.16 and 5,621.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.88 : 13,934.16 = 5,621.88 : x
2. Step 2: Convert to fraction form
   10,097.88/13,934.16 = 5,621.88/x
3. Step 3: Cross multiply
   10,097.88x = 13,934.16 × 5,621.88
4. Step 4: Simplify right side
   10,097.88x = 78,336,175.42
5. Step 5: Solve for x
   x = 78,336,175.42/10,097.88
6. Step 6: Final answer
   x = 7,757.69