Finding the Fourth Proportional to 2,625.20, 3,938.72 and 1,165.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,625.20 : 3,938.72 = 1,165.38 : x
2. Step 2: Convert to fraction form
   2,625.20/3,938.72 = 1,165.38/x
3. Step 3: Cross multiply
   2,625.20x = 3,938.72 × 1,165.38
4. Step 4: Simplify right side
   2,625.20x = 4,590,099.69
5. Step 5: Solve for x
   x = 4,590,099.69/2,625.20
6. Step 6: Final answer
   x = 1,748.47