Finding the Fourth Proportional to 1,427.68, 1,970.40 and 838.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.68 : 1,970.40 = 838.12 : x
2. Step 2: Convert to fraction form
   1,427.68/1,970.40 = 838.12/x
3. Step 3: Cross multiply
   1,427.68x = 1,970.40 × 838.12
4. Step 4: Simplify right side
   1,427.68x = 1,651,431.65
5. Step 5: Solve for x
   x = 1,651,431.65/1,427.68
6. Step 6: Final answer
   x = 1,156.72