Finding the Fourth Proportional to 1,352.94, 1,867.06 and 828.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.94 : 1,867.06 = 828.98 : x
2. Step 2: Convert to fraction form
   1,352.94/1,867.06 = 828.98/x
3. Step 3: Cross multiply
   1,352.94x = 1,867.06 × 828.98
4. Step 4: Simplify right side
   1,352.94x = 1,547,746.06
5. Step 5: Solve for x
   x = 1,547,746.06/1,352.94
6. Step 6: Final answer
   x = 1,143.99