Finding the Fourth Proportional to 1,362.09, 1,879.57 and 764.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,362.09 : 1,879.57 = 764.55 : x
2. Step 2: Convert to fraction form
   1,362.09/1,879.57 = 764.55/x
3. Step 3: Cross multiply
   1,362.09x = 1,879.57 × 764.55
4. Step 4: Simplify right side
   1,362.09x = 1,437,025.24
5. Step 5: Solve for x
   x = 1,437,025.24/1,362.09
6. Step 6: Final answer
   x = 1,055.01