Finding the Fourth Proportional to 7,828.56, 10,805.12 and 5,176.32

Step by Step Solution

1. Step 1: Write the proportion equation
   7,828.56 : 10,805.12 = 5,176.32 : x
2. Step 2: Convert to fraction form
   7,828.56/10,805.12 = 5,176.32/x
3. Step 3: Cross multiply
   7,828.56x = 10,805.12 × 5,176.32
4. Step 4: Simplify right side
   7,828.56x = 55,930,758.76
5. Step 5: Solve for x
   x = 55,930,758.76/7,828.56
6. Step 6: Final answer
   x = 7,144.45