Finding the Fourth Proportional to 1,427.40, 1,969.38 and 837.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.40 : 1,969.38 = 837.60 : x
2. Step 2: Convert to fraction form
   1,427.40/1,969.38 = 837.60/x
3. Step 3: Cross multiply
   1,427.40x = 1,969.38 × 837.60
4. Step 4: Simplify right side
   1,427.40x = 1,649,552.69
5. Step 5: Solve for x
   x = 1,649,552.69/1,427.40
6. Step 6: Final answer
   x = 1,155.63