Finding the Fourth Proportional to 1,427.27, 1,969.98 and 838.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.27 : 1,969.98 = 838.13 : x
2. Step 2: Convert to fraction form
   1,427.27/1,969.98 = 838.13/x
3. Step 3: Cross multiply
   1,427.27x = 1,969.98 × 838.13
4. Step 4: Simplify right side
   1,427.27x = 1,651,099.34
5. Step 5: Solve for x
   x = 1,651,099.34/1,427.27
6. Step 6: Final answer
   x = 1,156.82