Finding the Fourth Proportional to 1,859.12, 2,565.50 and 1,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,859.12 : 2,565.50 = 1,113.50 : x
2. Step 2: Convert to fraction form
   1,859.12/2,565.50 = 1,113.50/x
3. Step 3: Cross multiply
   1,859.12x = 2,565.50 × 1,113.50
4. Step 4: Simplify right side
   1,859.12x = 2,856,684.25
5. Step 5: Solve for x
   x = 2,856,684.25/1,859.12
6. Step 6: Final answer
   x = 1,536.58