Finding the Fourth Proportional to 1,535.42, 2,301.56 and 610.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.42 : 2,301.56 = 610.72 : x
2. Step 2: Convert to fraction form
   1,535.42/2,301.56 = 610.72/x
3. Step 3: Cross multiply
   1,535.42x = 2,301.56 × 610.72
4. Step 4: Simplify right side
   1,535.42x = 1,405,608.72
5. Step 5: Solve for x
   x = 1,405,608.72/1,535.42
6. Step 6: Final answer
   x = 915.46