Finding the Fourth Proportional to 2,061.64, 3,093.68 and 829.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,061.64 : 3,093.68 = 829.60 : x
2. Step 2: Convert to fraction form
   2,061.64/3,093.68 = 829.60/x
3. Step 3: Cross multiply
   2,061.64x = 3,093.68 × 829.60
4. Step 4: Simplify right side
   2,061.64x = 2,566,516.93
5. Step 5: Solve for x
   x = 2,566,516.93/2,061.64
6. Step 6: Final answer
   x = 1,244.89