Finding the Fourth Proportional to 1,427.41, 1,969.68 and 838.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.41 : 1,969.68 = 838.14 : x
2. Step 2: Convert to fraction form
   1,427.41/1,969.68 = 838.14/x
3. Step 3: Cross multiply
   1,427.41x = 1,969.68 × 838.14
4. Step 4: Simplify right side
   1,427.41x = 1,650,867.60
5. Step 5: Solve for x
   x = 1,650,867.60/1,427.41
6. Step 6: Final answer
   x = 1,156.55