Finding the Fourth Proportional to 1,493.70, 2,061.22 and 830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.70 : 2,061.22 = 830.50 : x
2. Step 2: Convert to fraction form
   1,493.70/2,061.22 = 830.50/x
3. Step 3: Cross multiply
   1,493.70x = 2,061.22 × 830.50
4. Step 4: Simplify right side
   1,493.70x = 1,711,843.21
5. Step 5: Solve for x
   x = 1,711,843.21/1,493.70
6. Step 6: Final answer
   x = 1,146.04