Finding the Fourth Proportional to 1,493.99, 2,061.56 and 830.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.99 : 2,061.56 = 830.78 : x
2. Step 2: Convert to fraction form
   1,493.99/2,061.56 = 830.78/x
3. Step 3: Cross multiply
   1,493.99x = 2,061.56 × 830.78
4. Step 4: Simplify right side
   1,493.99x = 1,712,702.82
5. Step 5: Solve for x
   x = 1,712,702.82/1,493.99
6. Step 6: Final answer
   x = 1,146.40