Finding the Fourth Proportional to 1,938.24, 2,906.46 and 705.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,938.24 : 2,906.46 = 705.42 : x
2. Step 2: Convert to fraction form
   1,938.24/2,906.46 = 705.42/x
3. Step 3: Cross multiply
   1,938.24x = 2,906.46 × 705.42
4. Step 4: Simplify right side
   1,938.24x = 2,050,275.01
5. Step 5: Solve for x
   x = 2,050,275.01/1,938.24
6. Step 6: Final answer
   x = 1,057.80