Finding the Fourth Proportional to 1,274.42, 1,758.16 and 776.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.42 : 1,758.16 = 776.94 : x
2. Step 2: Convert to fraction form
   1,274.42/1,758.16 = 776.94/x
3. Step 3: Cross multiply
   1,274.42x = 1,758.16 × 776.94
4. Step 4: Simplify right side
   1,274.42x = 1,365,984.83
5. Step 5: Solve for x
   x = 1,365,984.83/1,274.42
6. Step 6: Final answer
   x = 1,071.85