Finding the Fourth Proportional to 2,051.71, 3,076.98 and 802.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,051.71 : 3,076.98 = 802.09 : x
2. Step 2: Convert to fraction form
   2,051.71/3,076.98 = 802.09/x
3. Step 3: Cross multiply
   2,051.71x = 3,076.98 × 802.09
4. Step 4: Simplify right side
   2,051.71x = 2,468,014.89
5. Step 5: Solve for x
   x = 2,468,014.89/2,051.71
6. Step 6: Final answer
   x = 1,202.91