Finding the Fourth Proportional to 1,493.67, 2,061.33 and 830.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.67 : 2,061.33 = 830.54 : x
2. Step 2: Convert to fraction form
   1,493.67/2,061.33 = 830.54/x
3. Step 3: Cross multiply
   1,493.67x = 2,061.33 × 830.54
4. Step 4: Simplify right side
   1,493.67x = 1,712,006.71
5. Step 5: Solve for x
   x = 1,712,006.71/1,493.67
6. Step 6: Final answer
   x = 1,146.17