Finding the Fourth Proportional to 1,416.40, 1,955.28 and 849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.40 : 1,955.28 = 849.50 : x
2. Step 2: Convert to fraction form
   1,416.40/1,955.28 = 849.50/x
3. Step 3: Cross multiply
   1,416.40x = 1,955.28 × 849.50
4. Step 4: Simplify right side
   1,416.40x = 1,661,015.25
5. Step 5: Solve for x
   x = 1,661,015.25/1,416.40
6. Step 6: Final answer
   x = 1,172.71