Finding the Fourth Proportional to 1,301.83, 1,952.78 and 436.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.83 : 1,952.78 = 436.14 : x
2. Step 2: Convert to fraction form
   1,301.83/1,952.78 = 436.14/x
3. Step 3: Cross multiply
   1,301.83x = 1,952.78 × 436.14
4. Step 4: Simplify right side
   1,301.83x = 851,683.29
5. Step 5: Solve for x
   x = 851,683.29/1,301.83
6. Step 6: Final answer
   x = 654.22