Finding the Fourth Proportional to 1,523.59, 2,284.46 and 742.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,523.59 : 2,284.46 = 742.80 : x
2. Step 2: Convert to fraction form
   1,523.59/2,284.46 = 742.80/x
3. Step 3: Cross multiply
   1,523.59x = 2,284.46 × 742.80
4. Step 4: Simplify right side
   1,523.59x = 1,696,896.89
5. Step 5: Solve for x
   x = 1,696,896.89/1,523.59
6. Step 6: Final answer
   x = 1,113.75