Finding the Fourth Proportional to 9,856.14, 14,766.51 and 5,409.03

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856.14 : 14,766.51 = 5,409.03 : x
2. Step 2: Convert to fraction form
   9,856.14/14,766.51 = 5,409.03/x
3. Step 3: Cross multiply
   9,856.14x = 14,766.51 × 5,409.03
4. Step 4: Simplify right side
   9,856.14x = 79,872,495.59
5. Step 5: Solve for x
   x = 79,872,495.59/9,856.14
6. Step 6: Final answer
   x = 8,103.83