Finding the Fourth Proportional to 1,500.50, 2,250.72 and 678.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500.50 : 2,250.72 = 678.20 : x
2. Step 2: Convert to fraction form
   1,500.50/2,250.72 = 678.20/x
3. Step 3: Cross multiply
   1,500.50x = 2,250.72 × 678.20
4. Step 4: Simplify right side
   1,500.50x = 1,526,427.05
5. Step 5: Solve for x
   x = 1,526,427.05/1,500.50
6. Step 6: Final answer
   x = 1,017.28