Finding the Fourth Proportional to 1,670.50, 2,505.89 and 516.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,670.50 : 2,505.89 = 516.25 : x
2. Step 2: Convert to fraction form
   1,670.50/2,505.89 = 516.25/x
3. Step 3: Cross multiply
   1,670.50x = 2,505.89 × 516.25
4. Step 4: Simplify right side
   1,670.50x = 1,293,665.71
5. Step 5: Solve for x
   x = 1,293,665.71/1,670.50
6. Step 6: Final answer
   x = 774.42