Finding the Fourth Proportional to 1,007.98, 1,511.98 and 277.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.98 : 1,511.98 = 277.56 : x
2. Step 2: Convert to fraction form
   1,007.98/1,511.98 = 277.56/x
3. Step 3: Cross multiply
   1,007.98x = 1,511.98 × 277.56
4. Step 4: Simplify right side
   1,007.98x = 419,665.17
5. Step 5: Solve for x
   x = 419,665.17/1,007.98
6. Step 6: Final answer
   x = 416.34