Finding the Fourth Proportional to 3,875.78, 5,785.56 and 3,586.68

Step by Step Solution

1. Step 1: Write the proportion equation
   3,875.78 : 5,785.56 = 3,586.68 : x
2. Step 2: Convert to fraction form
   3,875.78/5,785.56 = 3,586.68/x
3. Step 3: Cross multiply
   3,875.78x = 5,785.56 × 3,586.68
4. Step 4: Simplify right side
   3,875.78x = 20,750,952.34
5. Step 5: Solve for x
   x = 20,750,952.34/3,875.78
6. Step 6: Final answer
   x = 5,354.00