Finding the Fourth Proportional to 1,238.37, 1,857.56 and 507.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.37 : 1,857.56 = 507.15 : x
2. Step 2: Convert to fraction form
   1,238.37/1,857.56 = 507.15/x
3. Step 3: Cross multiply
   1,238.37x = 1,857.56 × 507.15
4. Step 4: Simplify right side
   1,238.37x = 942,061.55
5. Step 5: Solve for x
   x = 942,061.55/1,238.37
6. Step 6: Final answer
   x = 760.73