Finding the Fourth Proportional to 770.14, 1,156.05 and 404.83

Step by Step Solution

1. Step 1: Write the proportion equation
   770.14 : 1,156.05 = 404.83 : x
2. Step 2: Convert to fraction form
   770.14/1,156.05 = 404.83/x
3. Step 3: Cross multiply
   770.14x = 1,156.05 × 404.83
4. Step 4: Simplify right side
   770.14x = 468,003.72
5. Step 5: Solve for x
   x = 468,003.72/770.14
6. Step 6: Final answer
   x = 607.69