Finding the Fourth Proportional to 2,007.35, 2,770.78 and 1,409.99

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.35 : 2,770.78 = 1,409.99 : x
2. Step 2: Convert to fraction form
   2,007.35/2,770.78 = 1,409.99/x
3. Step 3: Cross multiply
   2,007.35x = 2,770.78 × 1,409.99
4. Step 4: Simplify right side
   2,007.35x = 3,906,758.24
5. Step 5: Solve for x
   x = 3,906,758.24/2,007.35
6. Step 6: Final answer
   x = 1,946.23