Finding the Fourth Proportional to 1,427.33, 1,969.50 and 838.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.33 : 1,969.50 = 838.05 : x
2. Step 2: Convert to fraction form
   1,427.33/1,969.50 = 838.05/x
3. Step 3: Cross multiply
   1,427.33x = 1,969.50 × 838.05
4. Step 4: Simplify right side
   1,427.33x = 1,650,539.48
5. Step 5: Solve for x
   x = 1,650,539.48/1,427.33
6. Step 6: Final answer
   x = 1,156.39