Finding the Fourth Proportional to 1,493.91, 2,061.53 and 830.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.91 : 2,061.53 = 830.81 : x
2. Step 2: Convert to fraction form
   1,493.91/2,061.53 = 830.81/x
3. Step 3: Cross multiply
   1,493.91x = 2,061.53 × 830.81
4. Step 4: Simplify right side
   1,493.91x = 1,712,725.28
5. Step 5: Solve for x
   x = 1,712,725.28/1,493.91
6. Step 6: Final answer
   x = 1,146.47