Finding the Fourth Proportional to 1,538.56, 2,308.35 and 649.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.56 : 2,308.35 = 649.52 : x
2. Step 2: Convert to fraction form
   1,538.56/2,308.35 = 649.52/x
3. Step 3: Cross multiply
   1,538.56x = 2,308.35 × 649.52
4. Step 4: Simplify right side
   1,538.56x = 1,499,315.39
5. Step 5: Solve for x
   x = 1,499,315.39/1,538.56
6. Step 6: Final answer
   x = 974.49