Finding the Fourth Proportional to 2,085.81, 2,875.10 and 1,643.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.81 : 2,875.10 = 1,643.01 : x
2. Step 2: Convert to fraction form
   2,085.81/2,875.10 = 1,643.01/x
3. Step 3: Cross multiply
   2,085.81x = 2,875.10 × 1,643.01
4. Step 4: Simplify right side
   2,085.81x = 4,723,818.05
5. Step 5: Solve for x
   x = 4,723,818.05/2,085.81
6. Step 6: Final answer
   x = 2,264.74