Finding the Fourth Proportional to 1,353.93, 1,868.31 and 829.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.93 : 1,868.31 = 829.86 : x
2. Step 2: Convert to fraction form
   1,353.93/1,868.31 = 829.86/x
3. Step 3: Cross multiply
   1,353.93x = 1,868.31 × 829.86
4. Step 4: Simplify right side
   1,353.93x = 1,550,435.74
5. Step 5: Solve for x
   x = 1,550,435.74/1,353.93
6. Step 6: Final answer
   x = 1,145.14