Finding the Fourth Proportional to 1,367.64, 1,887.06 and 807.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,367.64 : 1,887.06 = 807.83 : x
2. Step 2: Convert to fraction form
   1,367.64/1,887.06 = 807.83/x
3. Step 3: Cross multiply
   1,367.64x = 1,887.06 × 807.83
4. Step 4: Simplify right side
   1,367.64x = 1,524,424.35
5. Step 5: Solve for x
   x = 1,524,424.35/1,367.64
6. Step 6: Final answer
   x = 1,114.64