Finding the Fourth Proportional to 1,889.60, 2,838.50 and 1,643.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,889.60 : 2,838.50 = 1,643.55 : x
2. Step 2: Convert to fraction form
   1,889.60/2,838.50 = 1,643.55/x
3. Step 3: Cross multiply
   1,889.60x = 2,838.50 × 1,643.55
4. Step 4: Simplify right side
   1,889.60x = 4,665,208.46
5. Step 5: Solve for x
   x = 4,665,208.46/1,889.60
6. Step 6: Final answer
   x = 2,468.89