Finding the Fourth Proportional to 1,006.82, 1,510.06 and 276.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.82 : 1,510.06 = 276.22 : x
2. Step 2: Convert to fraction form
   1,006.82/1,510.06 = 276.22/x
3. Step 3: Cross multiply
   1,006.82x = 1,510.06 × 276.22
4. Step 4: Simplify right side
   1,006.82x = 417,111.45
5. Step 5: Solve for x
   x = 417,111.45/1,006.82
6. Step 6: Final answer
   x = 414.29