Finding the Fourth Proportional to 1,460.50, 2,190.72 and 364.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.50 : 2,190.72 = 364.86 : x
2. Step 2: Convert to fraction form
   1,460.50/2,190.72 = 364.86/x
3. Step 3: Cross multiply
   1,460.50x = 2,190.72 × 364.86
4. Step 4: Simplify right side
   1,460.50x = 799,306.10
5. Step 5: Solve for x
   x = 799,306.10/1,460.50
6. Step 6: Final answer
   x = 547.28