Finding the Fourth Proportional to 2,575.40, 3,860.46 and 1,189.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.40 : 3,860.46 = 1,189.76 : x
2. Step 2: Convert to fraction form
   2,575.40/3,860.46 = 1,189.76/x
3. Step 3: Cross multiply
   2,575.40x = 3,860.46 × 1,189.76
4. Step 4: Simplify right side
   2,575.40x = 4,593,001.59
5. Step 5: Solve for x
   x = 4,593,001.59/2,575.40
6. Step 6: Final answer
   x = 1,783.42