Finding the Fourth Proportional to 1,366.56, 1,885.82 and 777.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,366.56 : 1,885.82 = 777.11 : x
2. Step 2: Convert to fraction form
   1,366.56/1,885.82 = 777.11/x
3. Step 3: Cross multiply
   1,366.56x = 1,885.82 × 777.11
4. Step 4: Simplify right side
   1,366.56x = 1,465,476.27
5. Step 5: Solve for x
   x = 1,465,476.27/1,366.56
6. Step 6: Final answer
   x = 1,072.38