Finding the Fourth Proportional to 21,856.24, 32,781.12 and 8,002

Step by Step Solution

1. Step 1: Write the proportion equation
   21,856.24 : 32,781.12 = 8,002 : x
2. Step 2: Convert to fraction form
   21,856.24/32,781.12 = 8,002/x
3. Step 3: Cross multiply
   21,856.24x = 32,781.12 × 8,002
4. Step 4: Simplify right side
   21,856.24x = 262,314,522.24
5. Step 5: Solve for x
   x = 262,314,522.24/21,856.24
6. Step 6: Final answer
   x = 12,001.81