Finding the Fourth Proportional to 1,505.50, 2,078.15 and 1,133.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.50 : 2,078.15 = 1,133.56 : x
2. Step 2: Convert to fraction form
   1,505.50/2,078.15 = 1,133.56/x
3. Step 3: Cross multiply
   1,505.50x = 2,078.15 × 1,133.56
4. Step 4: Simplify right side
   1,505.50x = 2,355,707.71
5. Step 5: Solve for x
   x = 2,355,707.71/1,505.50
6. Step 6: Final answer
   x = 1,564.73