Finding the Fourth Proportional to 1,493.67, 2,061.34 and 830.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.67 : 2,061.34 = 830.52 : x
2. Step 2: Convert to fraction form
   1,493.67/2,061.34 = 830.52/x
3. Step 3: Cross multiply
   1,493.67x = 2,061.34 × 830.52
4. Step 4: Simplify right side
   1,493.67x = 1,711,984.10
5. Step 5: Solve for x
   x = 1,711,984.10/1,493.67
6. Step 6: Final answer
   x = 1,146.16