Finding the Fourth Proportional to 10,097.64, 13,934.79 and 5,621.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.64 : 13,934.79 = 5,621.38 : x
2. Step 2: Convert to fraction form
   10,097.64/13,934.79 = 5,621.38/x
3. Step 3: Cross multiply
   10,097.64x = 13,934.79 × 5,621.38
4. Step 4: Simplify right side
   10,097.64x = 78,332,749.81
5. Step 5: Solve for x
   x = 78,332,749.81/10,097.64
6. Step 6: Final answer
   x = 7,757.53