Finding the Fourth Proportional to 1,366.41, 1,885.89 and 776.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,366.41 : 1,885.89 = 776.86 : x
2. Step 2: Convert to fraction form
   1,366.41/1,885.89 = 776.86/x
3. Step 3: Cross multiply
   1,366.41x = 1,885.89 × 776.86
4. Step 4: Simplify right side
   1,366.41x = 1,465,072.51
5. Step 5: Solve for x
   x = 1,465,072.51/1,366.41
6. Step 6: Final answer
   x = 1,072.21