Finding the Fourth Proportional to 10,128.75, 13,977.62 and 5,652.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,128.75 : 13,977.62 = 5,652.23 : x
2. Step 2: Convert to fraction form
   10,128.75/13,977.62 = 5,652.23/x
3. Step 3: Cross multiply
   10,128.75x = 13,977.62 × 5,652.23
4. Step 4: Simplify right side
   10,128.75x = 79,004,723.09
5. Step 5: Solve for x
   x = 79,004,723.09/10,128.75
6. Step 6: Final answer
   x = 7,800.05