Finding the Fourth Proportional to 1,006.98, 1,510.71 and 357.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.98 : 1,510.71 = 357.78 : x
2. Step 2: Convert to fraction form
   1,006.98/1,510.71 = 357.78/x
3. Step 3: Cross multiply
   1,006.98x = 1,510.71 × 357.78
4. Step 4: Simplify right side
   1,006.98x = 540,501.82
5. Step 5: Solve for x
   x = 540,501.82/1,006.98
6. Step 6: Final answer
   x = 536.76