Finding the Fourth Proportional to 1,165.89, 1,748.42 and 385.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.89 : 1,748.42 = 385.75 : x
2. Step 2: Convert to fraction form
   1,165.89/1,748.42 = 385.75/x
3. Step 3: Cross multiply
   1,165.89x = 1,748.42 × 385.75
4. Step 4: Simplify right side
   1,165.89x = 674,446.72
5. Step 5: Solve for x
   x = 674,446.72/1,165.89
6. Step 6: Final answer
   x = 578.48