Finding the Fourth Proportional to 1,238.22, 1,856.82 and 507.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.22 : 1,856.82 = 507.39 : x
2. Step 2: Convert to fraction form
   1,238.22/1,856.82 = 507.39/x
3. Step 3: Cross multiply
   1,238.22x = 1,856.82 × 507.39
4. Step 4: Simplify right side
   1,238.22x = 942,131.90
5. Step 5: Solve for x
   x = 942,131.90/1,238.22
6. Step 6: Final answer
   x = 760.88