Finding the Fourth Proportional to 1,493.53, 2,061.03 and 830.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.53 : 2,061.03 = 830.34 : x
2. Step 2: Convert to fraction form
   1,493.53/2,061.03 = 830.34/x
3. Step 3: Cross multiply
   1,493.53x = 2,061.03 × 830.34
4. Step 4: Simplify right side
   1,493.53x = 1,711,355.65
5. Step 5: Solve for x
   x = 1,711,355.65/1,493.53
6. Step 6: Final answer
   x = 1,145.85