Finding the Fourth Proportional to 1,739.59, 2,609.82 and 507.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,739.59 : 2,609.82 = 507.10 : x
2. Step 2: Convert to fraction form
   1,739.59/2,609.82 = 507.10/x
3. Step 3: Cross multiply
   1,739.59x = 2,609.82 × 507.10
4. Step 4: Simplify right side
   1,739.59x = 1,323,439.72
5. Step 5: Solve for x
   x = 1,323,439.72/1,739.59
6. Step 6: Final answer
   x = 760.78