Finding the Fourth Proportional to 1,345.60, 1,856.92 and 821.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.60 : 1,856.92 = 821.52 : x
2. Step 2: Convert to fraction form
   1,345.60/1,856.92 = 821.52/x
3. Step 3: Cross multiply
   1,345.60x = 1,856.92 × 821.52
4. Step 4: Simplify right side
   1,345.60x = 1,525,496.92
5. Step 5: Solve for x
   x = 1,525,496.92/1,345.60
6. Step 6: Final answer
   x = 1,133.69