Finding the Fourth Proportional to 1,238.74, 1,856.89 and 507.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.74 : 1,856.89 = 507.31 : x
2. Step 2: Convert to fraction form
   1,238.74/1,856.89 = 507.31/x
3. Step 3: Cross multiply
   1,238.74x = 1,856.89 × 507.31
4. Step 4: Simplify right side
   1,238.74x = 942,018.87
5. Step 5: Solve for x
   x = 942,018.87/1,238.74
6. Step 6: Final answer
   x = 760.47