Finding the Fourth Proportional to 1,165.69, 1,748.55 and 435.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.69 : 1,748.55 = 435.12 : x
2. Step 2: Convert to fraction form
   1,165.69/1,748.55 = 435.12/x
3. Step 3: Cross multiply
   1,165.69x = 1,748.55 × 435.12
4. Step 4: Simplify right side
   1,165.69x = 760,824.15
5. Step 5: Solve for x
   x = 760,824.15/1,165.69
6. Step 6: Final answer
   x = 652.68