Finding the Fourth Proportional to 7,834.72, 10,815.56 and 5,947.24

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834.72 : 10,815.56 = 5,947.24 : x
2. Step 2: Convert to fraction form
   7,834.72/10,815.56 = 5,947.24/x
3. Step 3: Cross multiply
   7,834.72x = 10,815.56 × 5,947.24
4. Step 4: Simplify right side
   7,834.72x = 64,322,731.05
5. Step 5: Solve for x
   x = 64,322,731.05/7,834.72
6. Step 6: Final answer
   x = 8,209.96