Finding the Fourth Proportional to 1,523.05, 2,101.81 and 824.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,523.05 : 2,101.81 = 824.42 : x
2. Step 2: Convert to fraction form
   1,523.05/2,101.81 = 824.42/x
3. Step 3: Cross multiply
   1,523.05x = 2,101.81 × 824.42
4. Step 4: Simplify right side
   1,523.05x = 1,732,770.08
5. Step 5: Solve for x
   x = 1,732,770.08/1,523.05
6. Step 6: Final answer
   x = 1,137.70