Finding the Fourth Proportional to 2,653.86, 3,662.31 and 1,605.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,653.86 : 3,662.31 = 1,605.90 : x
2. Step 2: Convert to fraction form
   2,653.86/3,662.31 = 1,605.90/x
3. Step 3: Cross multiply
   2,653.86x = 3,662.31 × 1,605.90
4. Step 4: Simplify right side
   2,653.86x = 5,881,303.63
5. Step 5: Solve for x
   x = 5,881,303.63/2,653.86
6. Step 6: Final answer
   x = 2,216.13