Finding the Fourth Proportional to 10,096.99, 13,934.15 and 5,621.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.99 : 13,934.15 = 5,621.16 : x
2. Step 2: Convert to fraction form
   10,096.99/13,934.15 = 5,621.16/x
3. Step 3: Cross multiply
   10,096.99x = 13,934.15 × 5,621.16
4. Step 4: Simplify right side
   10,096.99x = 78,326,088.87
5. Step 5: Solve for x
   x = 78,326,088.87/10,096.99
6. Step 6: Final answer
   x = 7,757.37