Finding the Fourth Proportional to 2,649.50, 3,656.48 and 1,530.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.50 : 3,656.48 = 1,530.78 : x
2. Step 2: Convert to fraction form
   2,649.50/3,656.48 = 1,530.78/x
3. Step 3: Cross multiply
   2,649.50x = 3,656.48 × 1,530.78
4. Step 4: Simplify right side
   2,649.50x = 5,597,266.45
5. Step 5: Solve for x
   x = 5,597,266.45/2,649.50
6. Step 6: Final answer
   x = 2,112.57