Finding the Fourth Proportional to 1,366.10, 1,885.17 and 776.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,366.10 : 1,885.17 = 776.82 : x
2. Step 2: Convert to fraction form
   1,366.10/1,885.17 = 776.82/x
3. Step 3: Cross multiply
   1,366.10x = 1,885.17 × 776.82
4. Step 4: Simplify right side
   1,366.10x = 1,464,447.74
5. Step 5: Solve for x
   x = 1,464,447.74/1,366.10
6. Step 6: Final answer
   x = 1,071.99