Finding the Fourth Proportional to 2,375.60, 3,565.60 and 1,206.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,375.60 : 3,565.60 = 1,206.42 : x
2. Step 2: Convert to fraction form
   2,375.60/3,565.60 = 1,206.42/x
3. Step 3: Cross multiply
   2,375.60x = 3,565.60 × 1,206.42
4. Step 4: Simplify right side
   2,375.60x = 4,301,611.15
5. Step 5: Solve for x
   x = 4,301,611.15/2,375.60
6. Step 6: Final answer
   x = 1,810.75