Finding the Fourth Proportional to 1,166.89, 1,749.22 and 436.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.89 : 1,749.22 = 436.27 : x
2. Step 2: Convert to fraction form
   1,166.89/1,749.22 = 436.27/x
3. Step 3: Cross multiply
   1,166.89x = 1,749.22 × 436.27
4. Step 4: Simplify right side
   1,166.89x = 763,130.03
5. Step 5: Solve for x
   x = 763,130.03/1,166.89
6. Step 6: Final answer
   x = 653.99