Finding the Fourth Proportional to 1,523.31, 2,102.17 and 824.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,523.31 : 2,102.17 = 824.69 : x
2. Step 2: Convert to fraction form
   1,523.31/2,102.17 = 824.69/x
3. Step 3: Cross multiply
   1,523.31x = 2,102.17 × 824.69
4. Step 4: Simplify right side
   1,523.31x = 1,733,628.07
5. Step 5: Solve for x
   x = 1,733,628.07/1,523.31
6. Step 6: Final answer
   x = 1,138.07