Finding the Fourth Proportional to 1,238.52, 1,856.69 and 507.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.52 : 1,856.69 = 507.63 : x
2. Step 2: Convert to fraction form
   1,238.52/1,856.69 = 507.63/x
3. Step 3: Cross multiply
   1,238.52x = 1,856.69 × 507.63
4. Step 4: Simplify right side
   1,238.52x = 942,509.01
5. Step 5: Solve for x
   x = 942,509.01/1,238.52
6. Step 6: Final answer
   x = 761.00