Finding the Fourth Proportional to 1,352.12, 1,865.82 and 828.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.12 : 1,865.82 = 828.08 : x
2. Step 2: Convert to fraction form
   1,352.12/1,865.82 = 828.08/x
3. Step 3: Cross multiply
   1,352.12x = 1,865.82 × 828.08
4. Step 4: Simplify right side
   1,352.12x = 1,545,048.23
5. Step 5: Solve for x
   x = 1,545,048.23/1,352.12
6. Step 6: Final answer
   x = 1,142.69