Finding the Fourth Proportional to 6,856.50, 10,284.77 and 1,926.18

Step by Step Solution

1. Step 1: Write the proportion equation
   6,856.50 : 10,284.77 = 1,926.18 : x
2. Step 2: Convert to fraction form
   6,856.50/10,284.77 = 1,926.18/x
3. Step 3: Cross multiply
   6,856.50x = 10,284.77 × 1,926.18
4. Step 4: Simplify right side
   6,856.50x = 19,810,323.09
5. Step 5: Solve for x
   x = 19,810,323.09/6,856.50
6. Step 6: Final answer
   x = 2,889.28