Finding the Fourth Proportional to 1,298.00, 1,791.25 and 774

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.00 : 1,791.25 = 774 : x
2. Step 2: Convert to fraction form
   1,298.00/1,791.25 = 774/x
3. Step 3: Cross multiply
   1,298.00x = 1,791.25 × 774
4. Step 4: Simplify right side
   1,298.00x = 1,386,425.57
5. Step 5: Solve for x
   x = 1,386,425.57/1,298.00
6. Step 6: Final answer
   x = 1,068.12