Finding the Fourth Proportional to 1,071.47, 1,606.56 and 516.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.47 : 1,606.56 = 516.03 : x
2. Step 2: Convert to fraction form
   1,071.47/1,606.56 = 516.03/x
3. Step 3: Cross multiply
   1,071.47x = 1,606.56 × 516.03
4. Step 4: Simplify right side
   1,071.47x = 829,033.16
5. Step 5: Solve for x
   x = 829,033.16/1,071.47
6. Step 6: Final answer
   x = 773.74