Finding the Fourth Proportional to 21,826.80, 32,728.56 and 7,784.64

Step by Step Solution

1. Step 1: Write the proportion equation
   21,826.80 : 32,728.56 = 7,784.64 : x
2. Step 2: Convert to fraction form
   21,826.80/32,728.56 = 7,784.64/x
3. Step 3: Cross multiply
   21,826.80x = 32,728.56 × 7,784.64
4. Step 4: Simplify right side
   21,826.80x = 254,780,057.32
5. Step 5: Solve for x
   x = 254,780,057.32/21,826.80
6. Step 6: Final answer
   x = 11,672.81