Finding the Fourth Proportional to 1,493.76, 2,061.42 and 830.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.76 : 2,061.42 = 830.64 : x
2. Step 2: Convert to fraction form
   1,493.76/2,061.42 = 830.64/x
3. Step 3: Cross multiply
   1,493.76x = 2,061.42 × 830.64
4. Step 4: Simplify right side
   1,493.76x = 1,712,297.91
5. Step 5: Solve for x
   x = 1,712,297.91/1,493.76
6. Step 6: Final answer
   x = 1,146.30