Finding the Fourth Proportional to 1,416.21, 1,954.50 and 856.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.21 : 1,954.50 = 856.82 : x
2. Step 2: Convert to fraction form
   1,416.21/1,954.50 = 856.82/x
3. Step 3: Cross multiply
   1,416.21x = 1,954.50 × 856.82
4. Step 4: Simplify right side
   1,416.21x = 1,674,650.79
5. Step 5: Solve for x
   x = 1,674,650.79/1,416.21
6. Step 6: Final answer
   x = 1,182.49