Finding the Fourth Proportional to 2,714.41, 4,071.89 and 766.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,714.41 : 4,071.89 = 766.63 : x
2. Step 2: Convert to fraction form
   2,714.41/4,071.89 = 766.63/x
3. Step 3: Cross multiply
   2,714.41x = 4,071.89 × 766.63
4. Step 4: Simplify right side
   2,714.41x = 3,121,633.03
5. Step 5: Solve for x
   x = 3,121,633.03/2,714.41
6. Step 6: Final answer
   x = 1,150.02