Finding the Fourth Proportional to 1,366.83, 1,886.23 and 777.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,366.83 : 1,886.23 = 777.37 : x
2. Step 2: Convert to fraction form
   1,366.83/1,886.23 = 777.37/x
3. Step 3: Cross multiply
   1,366.83x = 1,886.23 × 777.37
4. Step 4: Simplify right side
   1,366.83x = 1,466,298.62
5. Step 5: Solve for x
   x = 1,466,298.62/1,366.83
6. Step 6: Final answer
   x = 1,072.77