Finding the Fourth Proportional to 4,665.86, 6,436.78 and 2,776.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,665.86 : 6,436.78 = 2,776.38 : x
2. Step 2: Convert to fraction form
   4,665.86/6,436.78 = 2,776.38/x
3. Step 3: Cross multiply
   4,665.86x = 6,436.78 × 2,776.38
4. Step 4: Simplify right side
   4,665.86x = 17,870,947.26
5. Step 5: Solve for x
   x = 17,870,947.26/4,665.86
6. Step 6: Final answer
   x = 3,830.15