Finding the Fourth Proportional to 2,192.86, 3,290.91 and 1,646.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,192.86 : 3,290.91 = 1,646.11 : x
2. Step 2: Convert to fraction form
   2,192.86/3,290.91 = 1,646.11/x
3. Step 3: Cross multiply
   2,192.86x = 3,290.91 × 1,646.11
4. Step 4: Simplify right side
   2,192.86x = 5,417,199.86
5. Step 5: Solve for x
   x = 5,417,199.86/2,192.86
6. Step 6: Final answer
   x = 2,470.38