Finding the Fourth Proportional to 1,859.50, 2,565.39 and 1,187.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,859.50 : 2,565.39 = 1,187.56 : x
2. Step 2: Convert to fraction form
   1,859.50/2,565.39 = 1,187.56/x
3. Step 3: Cross multiply
   1,859.50x = 2,565.39 × 1,187.56
4. Step 4: Simplify right side
   1,859.50x = 3,046,554.55
5. Step 5: Solve for x
   x = 3,046,554.55/1,859.50
6. Step 6: Final answer
   x = 1,638.37