Finding the Fourth Proportional to 1,706.34, 2,557.56 and 829.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706.34 : 2,557.56 = 829.69 : x
2. Step 2: Convert to fraction form
   1,706.34/2,557.56 = 829.69/x
3. Step 3: Cross multiply
   1,706.34x = 2,557.56 × 829.69
4. Step 4: Simplify right side
   1,706.34x = 2,121,969.17
5. Step 5: Solve for x
   x = 2,121,969.17/1,706.34
6. Step 6: Final answer
   x = 1,243.58