Finding the Fourth Proportional to 3,870.10, 5,800.64 and 1,785.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870.10 : 5,800.64 = 1,785.74 : x
2. Step 2: Convert to fraction form
   3,870.10/5,800.64 = 1,785.74/x
3. Step 3: Cross multiply
   3,870.10x = 5,800.64 × 1,785.74
4. Step 4: Simplify right side
   3,870.10x = 10,358,434.87
5. Step 5: Solve for x
   x = 10,358,434.87/3,870.10
6. Step 6: Final answer
   x = 2,676.53