Finding the Fourth Proportional to 1,498.08, 2,244.78 and 766.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.08 : 2,244.78 = 766.56 : x
2. Step 2: Convert to fraction form
   1,498.08/2,244.78 = 766.56/x
3. Step 3: Cross multiply
   1,498.08x = 2,244.78 × 766.56
4. Step 4: Simplify right side
   1,498.08x = 1,720,758.56
5. Step 5: Solve for x
   x = 1,720,758.56/1,498.08
6. Step 6: Final answer
   x = 1,148.64