Finding the Fourth Proportional to 1,784.22, 2,461.83 and 1,365.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.22 : 2,461.83 = 1,365.05 : x
2. Step 2: Convert to fraction form
   1,784.22/2,461.83 = 1,365.05/x
3. Step 3: Cross multiply
   1,784.22x = 2,461.83 × 1,365.05
4. Step 4: Simplify right side
   1,784.22x = 3,360,508.73
5. Step 5: Solve for x
   x = 3,360,508.73/1,784.22
6. Step 6: Final answer
   x = 1,883.46