Finding the Fourth Proportional to 1,427.97, 1,970.58 and 838.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.97 : 1,970.58 = 838.38 : x
2. Step 2: Convert to fraction form
   1,427.97/1,970.58 = 838.38/x
3. Step 3: Cross multiply
   1,427.97x = 1,970.58 × 838.38
4. Step 4: Simplify right side
   1,427.97x = 1,652,094.86
5. Step 5: Solve for x
   x = 1,652,094.86/1,427.97
6. Step 6: Final answer
   x = 1,156.95