Finding the Fourth Proportional to 10,097.96, 13,935.77 and 5,621.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.96 : 13,935.77 = 5,621.70 : x
2. Step 2: Convert to fraction form
   10,097.96/13,935.77 = 5,621.70/x
3. Step 3: Cross multiply
   10,097.96x = 13,935.77 × 5,621.70
4. Step 4: Simplify right side
   10,097.96x = 78,342,711.18
5. Step 5: Solve for x
   x = 78,342,711.18/10,097.96
6. Step 6: Final answer
   x = 7,758.27