Finding the Fourth Proportional to 1,238.50, 1,856.71 and 508.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.50 : 1,856.71 = 508.60 : x
2. Step 2: Convert to fraction form
   1,238.50/1,856.71 = 508.60/x
3. Step 3: Cross multiply
   1,238.50x = 1,856.71 × 508.60
4. Step 4: Simplify right side
   1,238.50x = 944,322.71
5. Step 5: Solve for x
   x = 944,322.71/1,238.50
6. Step 6: Final answer
   x = 762.47