Finding the Fourth Proportional to 1,165.89, 1,748.69 and 435.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.89 : 1,748.69 = 435.38 : x
2. Step 2: Convert to fraction form
   1,165.89/1,748.69 = 435.38/x
3. Step 3: Cross multiply
   1,165.89x = 1,748.69 × 435.38
4. Step 4: Simplify right side
   1,165.89x = 761,335.36
5. Step 5: Solve for x
   x = 761,335.36/1,165.89
6. Step 6: Final answer
   x = 653.01