Finding the Fourth Proportional to 21,672, 32,517.39 and 7,642.05

Step by Step Solution

1. Step 1: Write the proportion equation
   21,672 : 32,517.39 = 7,642.05 : x
2. Step 2: Convert to fraction form
   21,672/32,517.39 = 7,642.05/x
3. Step 3: Cross multiply
   21,672x = 32,517.39 × 7,642.05
4. Step 4: Simplify right side
   21,672x = 248,499,459.28
5. Step 5: Solve for x
   x = 248,499,459.28/21,672
6. Step 6: Final answer
   x = 11,466.38