Finding the Fourth Proportional to 1,493.90, 2,061.62 and 830.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.90 : 2,061.62 = 830.82 : x
2. Step 2: Convert to fraction form
   1,493.90/2,061.62 = 830.82/x
3. Step 3: Cross multiply
   1,493.90x = 2,061.62 × 830.82
4. Step 4: Simplify right side
   1,493.90x = 1,712,837.21
5. Step 5: Solve for x
   x = 1,712,837.21/1,493.90
6. Step 6: Final answer
   x = 1,146.55