Finding the Fourth Proportional to 10,097.83, 13,935.41 and 5,621.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.83 : 13,935.41 = 5,621.41 : x
2. Step 2: Convert to fraction form
   10,097.83/13,935.41 = 5,621.41/x
3. Step 3: Cross multiply
   10,097.83x = 13,935.41 × 5,621.41
4. Step 4: Simplify right side
   10,097.83x = 78,336,653.13
5. Step 5: Solve for x
   x = 78,336,653.13/10,097.83
6. Step 6: Final answer
   x = 7,757.77