Finding the Fourth Proportional to 2,084.36, 2,857.76 and 2,047.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.36 : 2,857.76 = 2,047.64 : x
2. Step 2: Convert to fraction form
   2,084.36/2,857.76 = 2,047.64/x
3. Step 3: Cross multiply
   2,084.36x = 2,857.76 × 2,047.64
4. Step 4: Simplify right side
   2,084.36x = 5,851,663.69
5. Step 5: Solve for x
   x = 5,851,663.69/2,084.36
6. Step 6: Final answer
   x = 2,807.42