Finding the Fourth Proportional to 1,524.34, 2,288.60 and 784.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.34 : 2,288.60 = 784.56 : x
2. Step 2: Convert to fraction form
   1,524.34/2,288.60 = 784.56/x
3. Step 3: Cross multiply
   1,524.34x = 2,288.60 × 784.56
4. Step 4: Simplify right side
   1,524.34x = 1,795,544.02
5. Step 5: Solve for x
   x = 1,795,544.02/1,524.34
6. Step 6: Final answer
   x = 1,177.92