Finding the Fourth Proportional to 1,427.23, 1,969.41 and 837.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.23 : 1,969.41 = 837.82 : x
2. Step 2: Convert to fraction form
   1,427.23/1,969.41 = 837.82/x
3. Step 3: Cross multiply
   1,427.23x = 1,969.41 × 837.82
4. Step 4: Simplify right side
   1,427.23x = 1,650,011.09
5. Step 5: Solve for x
   x = 1,650,011.09/1,427.23
6. Step 6: Final answer
   x = 1,156.09