Finding the Fourth Proportional to 1,493.88, 2,061.60 and 830.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.88 : 2,061.60 = 830.78 : x
2. Step 2: Convert to fraction form
   1,493.88/2,061.60 = 830.78/x
3. Step 3: Cross multiply
   1,493.88x = 2,061.60 × 830.78
4. Step 4: Simplify right side
   1,493.88x = 1,712,736.05
5. Step 5: Solve for x
   x = 1,712,736.05/1,493.88
6. Step 6: Final answer
   x = 1,146.50