Finding the Fourth Proportional to 10,096.25, 13,931.33 and 5,620.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.25 : 13,931.33 = 5,620.05 : x
2. Step 2: Convert to fraction form
   10,096.25/13,931.33 = 5,620.05/x
3. Step 3: Cross multiply
   10,096.25x = 13,931.33 × 5,620.05
4. Step 4: Simplify right side
   10,096.25x = 78,294,743.07
5. Step 5: Solve for x
   x = 78,294,743.07/10,096.25
6. Step 6: Final answer
   x = 7,754.84