Finding the Fourth Proportional to 2,054.77, 3,085.23 and 1,642.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,054.77 : 3,085.23 = 1,642.69 : x
2. Step 2: Convert to fraction form
   2,054.77/3,085.23 = 1,642.69/x
3. Step 3: Cross multiply
   2,054.77x = 3,085.23 × 1,642.69
4. Step 4: Simplify right side
   2,054.77x = 5,068,076.47
5. Step 5: Solve for x
   x = 5,068,076.47/2,054.77
6. Step 6: Final answer
   x = 2,466.49