Finding the Fourth Proportional to 2,077.82, 3,116.36 and 761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.82 : 3,116.36 = 761.50 : x
2. Step 2: Convert to fraction form
   2,077.82/3,116.36 = 761.50/x
3. Step 3: Cross multiply
   2,077.82x = 3,116.36 × 761.50
4. Step 4: Simplify right side
   2,077.82x = 2,373,108.14
5. Step 5: Solve for x
   x = 2,373,108.14/2,077.82
6. Step 6: Final answer
   x = 1,142.11