Finding the Fourth Proportional to 1,230.78, 1,698.06 and 706.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,230.78 : 1,698.06 = 706.71 : x
2. Step 2: Convert to fraction form
   1,230.78/1,698.06 = 706.71/x
3. Step 3: Cross multiply
   1,230.78x = 1,698.06 × 706.71
4. Step 4: Simplify right side
   1,230.78x = 1,200,035.98
5. Step 5: Solve for x
   x = 1,200,035.98/1,230.78
6. Step 6: Final answer
   x = 975.02