Finding the Fourth Proportional to 2,645.40, 3,649.83 and 1,526.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.40 : 3,649.83 = 1,526.20 : x
2. Step 2: Convert to fraction form
   2,645.40/3,649.83 = 1,526.20/x
3. Step 3: Cross multiply
   2,645.40x = 3,649.83 × 1,526.20
4. Step 4: Simplify right side
   2,645.40x = 5,570,355.70
5. Step 5: Solve for x
   x = 5,570,355.70/2,645.40
6. Step 6: Final answer
   x = 2,105.67