Finding the Fourth Proportional to 2,138.82, 2,946.84 and 1,783.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.82 : 2,946.84 = 1,783.46 : x
2. Step 2: Convert to fraction form
   2,138.82/2,946.84 = 1,783.46/x
3. Step 3: Cross multiply
   2,138.82x = 2,946.84 × 1,783.46
4. Step 4: Simplify right side
   2,138.82x = 5,255,571.27
5. Step 5: Solve for x
   x = 5,255,571.27/2,138.82
6. Step 6: Final answer
   x = 2,457.23