Finding the Fourth Proportional to 2,076.78, 2,861.61 and 1,412.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076.78 : 2,861.61 = 1,412.47 : x
2. Step 2: Convert to fraction form
   2,076.78/2,861.61 = 1,412.47/x
3. Step 3: Cross multiply
   2,076.78x = 2,861.61 × 1,412.47
4. Step 4: Simplify right side
   2,076.78x = 4,041,938.28
5. Step 5: Solve for x
   x = 4,041,938.28/2,076.78
6. Step 6: Final answer
   x = 1,946.26