Finding the Fourth Proportional to 1,493.86, 2,061.46 and 830.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.86 : 2,061.46 = 830.71 : x
2. Step 2: Convert to fraction form
   1,493.86/2,061.46 = 830.71/x
3. Step 3: Cross multiply
   1,493.86x = 2,061.46 × 830.71
4. Step 4: Simplify right side
   1,493.86x = 1,712,475.44
5. Step 5: Solve for x
   x = 1,712,475.44/1,493.86
6. Step 6: Final answer
   x = 1,146.34