Finding the Fourth Proportional to 3,866.47, 5,799.53 and 1,785.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,866.47 : 5,799.53 = 1,785.78 : x
2. Step 2: Convert to fraction form
   3,866.47/5,799.53 = 1,785.78/x
3. Step 3: Cross multiply
   3,866.47x = 5,799.53 × 1,785.78
4. Step 4: Simplify right side
   3,866.47x = 10,356,689.15
5. Step 5: Solve for x
   x = 10,356,689.15/3,866.47
6. Step 6: Final answer
   x = 2,678.59