Finding the Fourth Proportional to 1,416.32, 1,954.72 and 856.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.32 : 1,954.72 = 856.80 : x
2. Step 2: Convert to fraction form
   1,416.32/1,954.72 = 856.80/x
3. Step 3: Cross multiply
   1,416.32x = 1,954.72 × 856.80
4. Step 4: Simplify right side
   1,416.32x = 1,674,804.10
5. Step 5: Solve for x
   x = 1,674,804.10/1,416.32
6. Step 6: Final answer
   x = 1,182.50