Finding the Fourth Proportional to 2,012.86, 3,019.90 and 1,664.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,012.86 : 3,019.90 = 1,664.61 : x
2. Step 2: Convert to fraction form
   2,012.86/3,019.90 = 1,664.61/x
3. Step 3: Cross multiply
   2,012.86x = 3,019.90 × 1,664.61
4. Step 4: Simplify right side
   2,012.86x = 5,026,955.74
5. Step 5: Solve for x
   x = 5,026,955.74/2,012.86
6. Step 6: Final answer
   x = 2,497.42