Finding the Fourth Proportional to 1,867.83, 2,802.05 and 771.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,867.83 : 2,802.05 = 771.59 : x
2. Step 2: Convert to fraction form
   1,867.83/2,802.05 = 771.59/x
3. Step 3: Cross multiply
   1,867.83x = 2,802.05 × 771.59
4. Step 4: Simplify right side
   1,867.83x = 2,162,033.76
5. Step 5: Solve for x
   x = 2,162,033.76/1,867.83
6. Step 6: Final answer
   x = 1,157.51