Finding the Fourth Proportional to 1,496.42, 2,245.08 and 766.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.42 : 2,245.08 = 766.51 : x
2. Step 2: Convert to fraction form
   1,496.42/2,245.08 = 766.51/x
3. Step 3: Cross multiply
   1,496.42x = 2,245.08 × 766.51
4. Step 4: Simplify right side
   1,496.42x = 1,720,876.27
5. Step 5: Solve for x
   x = 1,720,876.27/1,496.42
6. Step 6: Final answer
   x = 1,150.00