Finding the Fourth Proportional to 2,784.74, 3,842.68 and 1,665.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.74 : 3,842.68 = 1,665.46 : x
2. Step 2: Convert to fraction form
   2,784.74/3,842.68 = 1,665.46/x
3. Step 3: Cross multiply
   2,784.74x = 3,842.68 × 1,665.46
4. Step 4: Simplify right side
   2,784.74x = 6,399,829.83
5. Step 5: Solve for x
   x = 6,399,829.83/2,784.74
6. Step 6: Final answer
   x = 2,298.18