Finding the Fourth Proportional to 1,298.37, 1,945.89 and 475.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.37 : 1,945.89 = 475.67 : x
2. Step 2: Convert to fraction form
   1,298.37/1,945.89 = 475.67/x
3. Step 3: Cross multiply
   1,298.37x = 1,945.89 × 475.67
4. Step 4: Simplify right side
   1,298.37x = 925,601.50
5. Step 5: Solve for x
   x = 925,601.50/1,298.37
6. Step 6: Final answer
   x = 712.90