Finding the Fourth Proportional to 21,642, 32,443.56 and 7,787.76

Step by Step Solution

1. Step 1: Write the proportion equation
   21,642 : 32,443.56 = 7,787.76 : x
2. Step 2: Convert to fraction form
   21,642/32,443.56 = 7,787.76/x
3. Step 3: Cross multiply
   21,642x = 32,443.56 × 7,787.76
4. Step 4: Simplify right side
   21,642x = 252,662,658.83
5. Step 5: Solve for x
   x = 252,662,658.83/21,642
6. Step 6: Final answer
   x = 11,674.64