Finding the Fourth Proportional to 10,769.82, 14,863.68 and 6,054

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769.82 : 14,863.68 = 6,054 : x
2. Step 2: Convert to fraction form
   10,769.82/14,863.68 = 6,054/x
3. Step 3: Cross multiply
   10,769.82x = 14,863.68 × 6,054
4. Step 4: Simplify right side
   10,769.82x = 89,984,718.72
5. Step 5: Solve for x
   x = 89,984,718.72/10,769.82
6. Step 6: Final answer
   x = 8,355.27