Finding the Fourth Proportional to 5,769.72, 8,639.55 and 5,419.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,769.72 : 8,639.55 = 5,419.06 : x
2. Step 2: Convert to fraction form
   5,769.72/8,639.55 = 5,419.06/x
3. Step 3: Cross multiply
   5,769.72x = 8,639.55 × 5,419.06
4. Step 4: Simplify right side
   5,769.72x = 46,818,288.50
5. Step 5: Solve for x
   x = 46,818,288.50/5,769.72
6. Step 6: Final answer
   x = 8,114.49