Finding the Fourth Proportional to 1,500.58, 2,251.61 and 678.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500.58 : 2,251.61 = 678.77 : x
2. Step 2: Convert to fraction form
   1,500.58/2,251.61 = 678.77/x
3. Step 3: Cross multiply
   1,500.58x = 2,251.61 × 678.77
4. Step 4: Simplify right side
   1,500.58x = 1,528,325.32
5. Step 5: Solve for x
   x = 1,528,325.32/1,500.58
6. Step 6: Final answer
   x = 1,018.49