Finding the Fourth Proportional to 1,194.34, 1,647.72 and 774.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.34 : 1,647.72 = 774.76 : x
2. Step 2: Convert to fraction form
   1,194.34/1,647.72 = 774.76/x
3. Step 3: Cross multiply
   1,194.34x = 1,647.72 × 774.76
4. Step 4: Simplify right side
   1,194.34x = 1,276,587.55
5. Step 5: Solve for x
   x = 1,276,587.55/1,194.34
6. Step 6: Final answer
   x = 1,068.86