Finding the Fourth Proportional to 1,345.08, 1,856.34 and 821.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.08 : 1,856.34 = 821.46 : x
2. Step 2: Convert to fraction form
   1,345.08/1,856.34 = 821.46/x
3. Step 3: Cross multiply
   1,345.08x = 1,856.34 × 821.46
4. Step 4: Simplify right side
   1,345.08x = 1,524,909.06
5. Step 5: Solve for x
   x = 1,524,909.06/1,345.08
6. Step 6: Final answer
   x = 1,133.69