Finding the Fourth Proportional to 12,851, 19,277.50 and 4,084.04

Step by Step Solution

1. Step 1: Write the proportion equation
   12,851 : 19,277.50 = 4,084.04 : x
2. Step 2: Convert to fraction form
   12,851/19,277.50 = 4,084.04/x
3. Step 3: Cross multiply
   12,851x = 19,277.50 × 4,084.04
4. Step 4: Simplify right side
   12,851x = 78,730,081.10
5. Step 5: Solve for x
   x = 78,730,081.10/12,851
6. Step 6: Final answer
   x = 6,126.38