Finding the Fourth Proportional to 2,085.32, 2,874.66 and 1,642.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.32 : 2,874.66 = 1,642.34 : x
2. Step 2: Convert to fraction form
   2,085.32/2,874.66 = 1,642.34/x
3. Step 3: Cross multiply
   2,085.32x = 2,874.66 × 1,642.34
4. Step 4: Simplify right side
   2,085.32x = 4,721,169.10
5. Step 5: Solve for x
   x = 4,721,169.10/2,085.32
6. Step 6: Final answer
   x = 2,264.00