Finding the Fourth Proportional to 1,367.13, 1,886.79 and 777.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,367.13 : 1,886.79 = 777.57 : x
2. Step 2: Convert to fraction form
   1,367.13/1,886.79 = 777.57/x
3. Step 3: Cross multiply
   1,367.13x = 1,886.79 × 777.57
4. Step 4: Simplify right side
   1,367.13x = 1,467,111.30
5. Step 5: Solve for x
   x = 1,467,111.30/1,367.13
6. Step 6: Final answer
   x = 1,073.13