Finding the Fourth Proportional to 2,649.20, 3,837.50 and 2,649.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.20 : 3,837.50 = 2,649.20 : x
2. Step 2: Convert to fraction form
   2,649.20/3,837.50 = 2,649.20/x
3. Step 3: Cross multiply
   2,649.20x = 3,837.50 × 2,649.20
4. Step 4: Simplify right side
   2,649.20x = 10,166,305
5. Step 5: Solve for x
   x = 10,166,305/2,649.20
6. Step 6: Final answer
   x = 3,837.50