Finding the Fourth Proportional to 1,036.83, 1,431.06 and 706.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.83 : 1,431.06 = 706.05 : x
2. Step 2: Convert to fraction form
   1,036.83/1,431.06 = 706.05/x
3. Step 3: Cross multiply
   1,036.83x = 1,431.06 × 706.05
4. Step 4: Simplify right side
   1,036.83x = 1,010,399.91
5. Step 5: Solve for x
   x = 1,010,399.91/1,036.83
6. Step 6: Final answer
   x = 974.51