Finding the Fourth Proportional to 1,494.10, 2,061.68 and 830.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,494.10 : 2,061.68 = 830.86 : x
2. Step 2: Convert to fraction form
   1,494.10/2,061.68 = 830.86/x
3. Step 3: Cross multiply
   1,494.10x = 2,061.68 × 830.86
4. Step 4: Simplify right side
   1,494.10x = 1,712,967.44
5. Step 5: Solve for x
   x = 1,712,967.44/1,494.10
6. Step 6: Final answer
   x = 1,146.49