Finding the Fourth Proportional to 1,353.50, 1,867.88 and 829.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.50 : 1,867.88 = 829.43 : x
2. Step 2: Convert to fraction form
   1,353.50/1,867.88 = 829.43/x
3. Step 3: Cross multiply
   1,353.50x = 1,867.88 × 829.43
4. Step 4: Simplify right side
   1,353.50x = 1,549,275.71
5. Step 5: Solve for x
   x = 1,549,275.71/1,353.50
6. Step 6: Final answer
   x = 1,144.64