Finding the Fourth Proportional to 1,301.76, 1,952.69 and 436.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.76 : 1,952.69 = 436.10 : x
2. Step 2: Convert to fraction form
   1,301.76/1,952.69 = 436.10/x
3. Step 3: Cross multiply
   1,301.76x = 1,952.69 × 436.10
4. Step 4: Simplify right side
   1,301.76x = 851,556.17
5. Step 5: Solve for x
   x = 851,556.17/1,301.76
6. Step 6: Final answer
   x = 654.16