Finding the Fourth Proportional to 1,065.90, 1,471.98 and 830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.90 : 1,471.98 = 830.50 : x
2. Step 2: Convert to fraction form
   1,065.90/1,471.98 = 830.50/x
3. Step 3: Cross multiply
   1,065.90x = 1,471.98 × 830.50
4. Step 4: Simplify right side
   1,065.90x = 1,222,479.39
5. Step 5: Solve for x
   x = 1,222,479.39/1,065.90
6. Step 6: Final answer
   x = 1,146.90