Finding the Fourth Proportional to 1,897.89, 2,848.20 and 802.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,897.89 : 2,848.20 = 802.56 : x
2. Step 2: Convert to fraction form
   1,897.89/2,848.20 = 802.56/x
3. Step 3: Cross multiply
   1,897.89x = 2,848.20 × 802.56
4. Step 4: Simplify right side
   1,897.89x = 2,285,851.39
5. Step 5: Solve for x
   x = 2,285,851.39/1,897.89
6. Step 6: Final answer
   x = 1,204.42