Finding the Fourth Proportional to 12,588.16, 18,885.84 and 3,822.88

Step by Step Solution

1. Step 1: Write the proportion equation
   12,588.16 : 18,885.84 = 3,822.88 : x
2. Step 2: Convert to fraction form
   12,588.16/18,885.84 = 3,822.88/x
3. Step 3: Cross multiply
   12,588.16x = 18,885.84 × 3,822.88
4. Step 4: Simplify right side
   12,588.16x = 72,198,300.02
5. Step 5: Solve for x
   x = 72,198,300.02/12,588.16
6. Step 6: Final answer
   x = 5,735.41