Finding the Fourth Proportional to 1,366.89, 1,886.25 and 777.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,366.89 : 1,886.25 = 777.48 : x
2. Step 2: Convert to fraction form
   1,366.89/1,886.25 = 777.48/x
3. Step 3: Cross multiply
   1,366.89x = 1,886.25 × 777.48
4. Step 4: Simplify right side
   1,366.89x = 1,466,521.65
5. Step 5: Solve for x
   x = 1,466,521.65/1,366.89
6. Step 6: Final answer
   x = 1,072.89