Finding the Fourth Proportional to 1,366.58, 1,885.86 and 777.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,366.58 : 1,885.86 = 777.12 : x
2. Step 2: Convert to fraction form
   1,366.58/1,885.86 = 777.12/x
3. Step 3: Cross multiply
   1,366.58x = 1,885.86 × 777.12
4. Step 4: Simplify right side
   1,366.58x = 1,465,539.52
5. Step 5: Solve for x
   x = 1,465,539.52/1,366.58
6. Step 6: Final answer
   x = 1,072.41