Finding the Fourth Proportional to 1,494.06, 2,061.86 and 830.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,494.06 : 2,061.86 = 830.90 : x
2. Step 2: Convert to fraction form
   1,494.06/2,061.86 = 830.90/x
3. Step 3: Cross multiply
   1,494.06x = 2,061.86 × 830.90
4. Step 4: Simplify right side
   1,494.06x = 1,713,185.01
5. Step 5: Solve for x
   x = 1,713,185.01/1,494.06
6. Step 6: Final answer
   x = 1,146.66