Finding the Fourth Proportional to 2,802, 3,867.57 and 1,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,802 : 3,867.57 = 1,870.50 : x
2. Step 2: Convert to fraction form
   2,802/3,867.57 = 1,870.50/x
3. Step 3: Cross multiply
   2,802x = 3,867.57 × 1,870.50
4. Step 4: Simplify right side
   2,802x = 7,234,289.69
5. Step 5: Solve for x
   x = 7,234,289.69/2,802
6. Step 6: Final answer
   x = 2,581.83