Finding the Fourth Proportional to 1,323.52, 1,826.76 and 856.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.52 : 1,826.76 = 856.96 : x
2. Step 2: Convert to fraction form
   1,323.52/1,826.76 = 856.96/x
3. Step 3: Cross multiply
   1,323.52x = 1,826.76 × 856.96
4. Step 4: Simplify right side
   1,323.52x = 1,565,460.25
5. Step 5: Solve for x
   x = 1,565,460.25/1,323.52
6. Step 6: Final answer
   x = 1,182.80