Finding the Fourth Proportional to 2,542.82, 3,814.48 and 787.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.82 : 3,814.48 = 787.76 : x
2. Step 2: Convert to fraction form
   2,542.82/3,814.48 = 787.76/x
3. Step 3: Cross multiply
   2,542.82x = 3,814.48 × 787.76
4. Step 4: Simplify right side
   2,542.82x = 3,004,875.69
5. Step 5: Solve for x
   x = 3,004,875.69/2,542.82
6. Step 6: Final answer
   x = 1,181.71