Finding the Fourth Proportional to 1,407.14, 1,946.73 and 1,233.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.14 : 1,946.73 = 1,233.02 : x
2. Step 2: Convert to fraction form
   1,407.14/1,946.73 = 1,233.02/x
3. Step 3: Cross multiply
   1,407.14x = 1,946.73 × 1,233.02
4. Step 4: Simplify right side
   1,407.14x = 2,400,357.02
5. Step 5: Solve for x
   x = 2,400,357.02/1,407.14
6. Step 6: Final answer
   x = 1,705.84