Finding the Fourth Proportional to 10,370.75, 14,311.82 and 5,655.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,370.75 : 14,311.82 = 5,655.20 : x
2. Step 2: Convert to fraction form
   10,370.75/14,311.82 = 5,655.20/x
3. Step 3: Cross multiply
   10,370.75x = 14,311.82 × 5,655.20
4. Step 4: Simplify right side
   10,370.75x = 80,936,147.04
5. Step 5: Solve for x
   x = 80,936,147.04/10,370.75
6. Step 6: Final answer
   x = 7,804.28