Finding the Fourth Proportional to 1,540.34, 2,308.71 and 616.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.34 : 2,308.71 = 616.16 : x
2. Step 2: Convert to fraction form
   1,540.34/2,308.71 = 616.16/x
3. Step 3: Cross multiply
   1,540.34x = 2,308.71 × 616.16
4. Step 4: Simplify right side
   1,540.34x = 1,422,526.82
5. Step 5: Solve for x
   x = 1,422,526.82/1,540.34
6. Step 6: Final answer
   x = 923.52