Finding the Fourth Proportional to 1,238.77, 1,856.55 and 507.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.77 : 1,856.55 = 507.47 : x
2. Step 2: Convert to fraction form
   1,238.77/1,856.55 = 507.47/x
3. Step 3: Cross multiply
   1,238.77x = 1,856.55 × 507.47
4. Step 4: Simplify right side
   1,238.77x = 942,143.43
5. Step 5: Solve for x
   x = 942,143.43/1,238.77
6. Step 6: Final answer
   x = 760.55