Finding the Fourth Proportional to 5,185.56, 7,781.31 and 1,898.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185.56 : 7,781.31 = 1,898.22 : x
2. Step 2: Convert to fraction form
   5,185.56/7,781.31 = 1,898.22/x
3. Step 3: Cross multiply
   5,185.56x = 7,781.31 × 1,898.22
4. Step 4: Simplify right side
   5,185.56x = 14,770,638.27
5. Step 5: Solve for x
   x = 14,770,638.27/5,185.56
6. Step 6: Final answer
   x = 2,848.42