Finding the Fourth Proportional to 10,097.10, 13,933.76 and 5,620.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.10 : 13,933.76 = 5,620.75 : x
2. Step 2: Convert to fraction form
   10,097.10/13,933.76 = 5,620.75/x
3. Step 3: Cross multiply
   10,097.10x = 13,933.76 × 5,620.75
4. Step 4: Simplify right side
   10,097.10x = 78,318,181.52
5. Step 5: Solve for x
   x = 78,318,181.52/10,097.10
6. Step 6: Final answer
   x = 7,756.50