Finding the Fourth Proportional to 3,071.06, 4,606.52 and 762.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,071.06 : 4,606.52 = 762.56 : x
2. Step 2: Convert to fraction form
   3,071.06/4,606.52 = 762.56/x
3. Step 3: Cross multiply
   3,071.06x = 4,606.52 × 762.56
4. Step 4: Simplify right side
   3,071.06x = 3,512,747.89
5. Step 5: Solve for x
   x = 3,512,747.89/3,071.06
6. Step 6: Final answer
   x = 1,143.82