Finding the Fourth Proportional to 589,275, 813,199.50 and 321,003

Step by Step Solution

1. Step 1: Write the proportion equation
   589,275 : 813,199.50 = 321,003 : x
2. Step 2: Convert to fraction form
   589,275/813,199.50 = 321,003/x
3. Step 3: Cross multiply
   589,275x = 813,199.50 × 321,003
4. Step 4: Simplify right side
   589,275x = 261,039,479,098.50
5. Step 5: Solve for x
   x = 261,039,479,098.50/589,275
6. Step 6: Final answer
   x = 442,984.14