Finding the Fourth Proportional to 1,427.67, 1,970.31 and 838.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.67 : 1,970.31 = 838.41 : x
2. Step 2: Convert to fraction form
   1,427.67/1,970.31 = 838.41/x
3. Step 3: Cross multiply
   1,427.67x = 1,970.31 × 838.41
4. Step 4: Simplify right side
   1,427.67x = 1,651,927.61
5. Step 5: Solve for x
   x = 1,651,927.61/1,427.67
6. Step 6: Final answer
   x = 1,157.08