Finding the Fourth Proportional to 1,366.42, 1,885.52 and 776.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,366.42 : 1,885.52 = 776.74 : x
2. Step 2: Convert to fraction form
   1,366.42/1,885.52 = 776.74/x
3. Step 3: Cross multiply
   1,366.42x = 1,885.52 × 776.74
4. Step 4: Simplify right side
   1,366.42x = 1,464,558.80
5. Step 5: Solve for x
   x = 1,464,558.80/1,366.42
6. Step 6: Final answer
   x = 1,071.82