Finding the Fourth Proportional to 1,610.27, 2,415.86 and 514.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,610.27 : 2,415.86 = 514.72 : x
2. Step 2: Convert to fraction form
   1,610.27/2,415.86 = 514.72/x
3. Step 3: Cross multiply
   1,610.27x = 2,415.86 × 514.72
4. Step 4: Simplify right side
   1,610.27x = 1,243,476.81
5. Step 5: Solve for x
   x = 1,243,476.81/1,610.27
6. Step 6: Final answer
   x = 772.22