Finding the Fourth Proportional to 10,097.84, 13,934.69 and 5,621.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.84 : 13,934.69 = 5,621.44 : x
2. Step 2: Convert to fraction form
   10,097.84/13,934.69 = 5,621.44/x
3. Step 3: Cross multiply
   10,097.84x = 13,934.69 × 5,621.44
4. Step 4: Simplify right side
   10,097.84x = 78,333,023.75
5. Step 5: Solve for x
   x = 78,333,023.75/10,097.84
6. Step 6: Final answer
   x = 7,757.40