Finding the Fourth Proportional to 7,826.72, 10,782.72 and 5,465.12

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826.72 : 10,782.72 = 5,465.12 : x
2. Step 2: Convert to fraction form
   7,826.72/10,782.72 = 5,465.12/x
3. Step 3: Cross multiply
   7,826.72x = 10,782.72 × 5,465.12
4. Step 4: Simplify right side
   7,826.72x = 58,928,858.73
5. Step 5: Solve for x
   x = 58,928,858.73/7,826.72
6. Step 6: Final answer
   x = 7,529.19