Finding the Fourth Proportional to 1,294.47, 1,786.40 and 705.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.47 : 1,786.40 = 705.01 : x
2. Step 2: Convert to fraction form
   1,294.47/1,786.40 = 705.01/x
3. Step 3: Cross multiply
   1,294.47x = 1,786.40 × 705.01
4. Step 4: Simplify right side
   1,294.47x = 1,259,429.86
5. Step 5: Solve for x
   x = 1,259,429.86/1,294.47
6. Step 6: Final answer
   x = 972.93