Finding the Fourth Proportional to 2,505.69, 3,758.60 and 862.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.69 : 3,758.60 = 862.38 : x
2. Step 2: Convert to fraction form
   2,505.69/3,758.60 = 862.38/x
3. Step 3: Cross multiply
   2,505.69x = 3,758.60 × 862.38
4. Step 4: Simplify right side
   2,505.69x = 3,241,343.62
5. Step 5: Solve for x
   x = 3,241,343.62/2,505.69
6. Step 6: Final answer
   x = 1,293.59