Finding the Fourth Proportional to 1,165.52, 1,748.69 and 435.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.52 : 1,748.69 = 435.21 : x
2. Step 2: Convert to fraction form
   1,165.52/1,748.69 = 435.21/x
3. Step 3: Cross multiply
   1,165.52x = 1,748.69 × 435.21
4. Step 4: Simplify right side
   1,165.52x = 761,040.27
5. Step 5: Solve for x
   x = 761,040.27/1,165.52
6. Step 6: Final answer
   x = 652.96