Finding the Fourth Proportional to 3,142.61, 4,713.86 and 770.71

Step by Step Solution

1. Step 1: Write the proportion equation
   3,142.61 : 4,713.86 = 770.71 : x
2. Step 2: Convert to fraction form
   3,142.61/4,713.86 = 770.71/x
3. Step 3: Cross multiply
   3,142.61x = 4,713.86 × 770.71
4. Step 4: Simplify right side
   3,142.61x = 3,633,019.04
5. Step 5: Solve for x
   x = 3,633,019.04/3,142.61
6. Step 6: Final answer
   x = 1,156.05