Finding the Fourth Proportional to 1,404.66, 1,938.36 and 829.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.66 : 1,938.36 = 829.74 : x
2. Step 2: Convert to fraction form
   1,404.66/1,938.36 = 829.74/x
3. Step 3: Cross multiply
   1,404.66x = 1,938.36 × 829.74
4. Step 4: Simplify right side
   1,404.66x = 1,608,334.83
5. Step 5: Solve for x
   x = 1,608,334.83/1,404.66
6. Step 6: Final answer
   x = 1,145.00