Finding the Fourth Proportional to 3,740.40, 5,146.32 and 3,648.15

Step by Step Solution

1. Step 1: Write the proportion equation
   3,740.40 : 5,146.32 = 3,648.15 : x
2. Step 2: Convert to fraction form
   3,740.40/5,146.32 = 3,648.15/x
3. Step 3: Cross multiply
   3,740.40x = 5,146.32 × 3,648.15
4. Step 4: Simplify right side
   3,740.40x = 18,774,547.31
5. Step 5: Solve for x
   x = 18,774,547.31/3,740.40
6. Step 6: Final answer
   x = 5,019.40