Finding the Fourth Proportional to 1,353.02, 1,867.84 and 856.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.02 : 1,867.84 = 856.16 : x
2. Step 2: Convert to fraction form
   1,353.02/1,867.84 = 856.16/x
3. Step 3: Cross multiply
   1,353.02x = 1,867.84 × 856.16
4. Step 4: Simplify right side
   1,353.02x = 1,599,169.89
5. Step 5: Solve for x
   x = 1,599,169.89/1,353.02
6. Step 6: Final answer
   x = 1,181.93