Finding the Fourth Proportional to 1,353.54, 1,866.93 and 829.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.54 : 1,866.93 = 829.86 : x
2. Step 2: Convert to fraction form
   1,353.54/1,866.93 = 829.86/x
3. Step 3: Cross multiply
   1,353.54x = 1,866.93 × 829.86
4. Step 4: Simplify right side
   1,353.54x = 1,549,290.53
5. Step 5: Solve for x
   x = 1,549,290.53/1,353.54
6. Step 6: Final answer
   x = 1,144.62