Finding the Fourth Proportional to 1,909.64, 2,838.72 and 1,853.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,909.64 : 2,838.72 = 1,853.59 : x
2. Step 2: Convert to fraction form
   1,909.64/2,838.72 = 1,853.59/x
3. Step 3: Cross multiply
   1,909.64x = 2,838.72 × 1,853.59
4. Step 4: Simplify right side
   1,909.64x = 5,261,799.54
5. Step 5: Solve for x
   x = 5,261,799.54/1,909.64
6. Step 6: Final answer
   x = 2,755.39