Finding the Fourth Proportional to 2,128.48, 3,194.57 and 830.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128.48 : 3,194.57 = 830.86 : x
2. Step 2: Convert to fraction form
   2,128.48/3,194.57 = 830.86/x
3. Step 3: Cross multiply
   2,128.48x = 3,194.57 × 830.86
4. Step 4: Simplify right side
   2,128.48x = 2,654,234.52
5. Step 5: Solve for x
   x = 2,654,234.52/2,128.48
6. Step 6: Final answer
   x = 1,247.01