Finding the Fourth Proportional to 1,493.86, 2,061.54 and 830.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.86 : 2,061.54 = 830.74 : x
2. Step 2: Convert to fraction form
   1,493.86/2,061.54 = 830.74/x
3. Step 3: Cross multiply
   1,493.86x = 2,061.54 × 830.74
4. Step 4: Simplify right side
   1,493.86x = 1,712,603.74
5. Step 5: Solve for x
   x = 1,712,603.74/1,493.86
6. Step 6: Final answer
   x = 1,146.43