Finding the Fourth Proportional to 1,238.37, 1,856.79 and 507.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.37 : 1,856.79 = 507.12 : x
2. Step 2: Convert to fraction form
   1,238.37/1,856.79 = 507.12/x
3. Step 3: Cross multiply
   1,238.37x = 1,856.79 × 507.12
4. Step 4: Simplify right side
   1,238.37x = 941,615.34
5. Step 5: Solve for x
   x = 941,615.34/1,238.37
6. Step 6: Final answer
   x = 760.37