Finding the Fourth Proportional to 1,364.23, 1,882.64 and 774.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.23 : 1,882.64 = 774.72 : x
2. Step 2: Convert to fraction form
   1,364.23/1,882.64 = 774.72/x
3. Step 3: Cross multiply
   1,364.23x = 1,882.64 × 774.72
4. Step 4: Simplify right side
   1,364.23x = 1,458,518.86
5. Step 5: Solve for x
   x = 1,458,518.86/1,364.23
6. Step 6: Final answer
   x = 1,069.12