Finding the Fourth Proportional to 1,366.80, 1,886.22 and 807.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,366.80 : 1,886.22 = 807.60 : x
2. Step 2: Convert to fraction form
   1,366.80/1,886.22 = 807.60/x
3. Step 3: Cross multiply
   1,366.80x = 1,886.22 × 807.60
4. Step 4: Simplify right side
   1,366.80x = 1,523,311.27
5. Step 5: Solve for x
   x = 1,523,311.27/1,366.80
6. Step 6: Final answer
   x = 1,114.51