Finding the Fourth Proportional to 2,280.56, 3,422.05 and 1,185.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,280.56 : 3,422.05 = 1,185.84 : x
2. Step 2: Convert to fraction form
   2,280.56/3,422.05 = 1,185.84/x
3. Step 3: Cross multiply
   2,280.56x = 3,422.05 × 1,185.84
4. Step 4: Simplify right side
   2,280.56x = 4,058,000.81
5. Step 5: Solve for x
   x = 4,058,000.81/2,280.56
6. Step 6: Final answer
   x = 1,779.39