Finding the Fourth Proportional to 1,004.53, 1,387.98 and 829.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.53 : 1,387.98 = 829.57 : x
2. Step 2: Convert to fraction form
   1,004.53/1,387.98 = 829.57/x
3. Step 3: Cross multiply
   1,004.53x = 1,387.98 × 829.57
4. Step 4: Simplify right side
   1,004.53x = 1,151,419.63
5. Step 5: Solve for x
   x = 1,151,419.63/1,004.53
6. Step 6: Final answer
   x = 1,146.23