Finding the Fourth Proportional to 2,784.82, 4,178 and 2,478.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.82 : 4,178 = 2,478.81 : x
2. Step 2: Convert to fraction form
   2,784.82/4,178 = 2,478.81/x
3. Step 3: Cross multiply
   2,784.82x = 4,178 × 2,478.81
4. Step 4: Simplify right side
   2,784.82x = 10,356,468.18
5. Step 5: Solve for x
   x = 10,356,468.18/2,784.82
6. Step 6: Final answer
   x = 3,718.90