Finding the Fourth Proportional to 1,523.34, 2,102.22 and 824.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,523.34 : 2,102.22 = 824.72 : x
2. Step 2: Convert to fraction form
   1,523.34/2,102.22 = 824.72/x
3. Step 3: Cross multiply
   1,523.34x = 2,102.22 × 824.72
4. Step 4: Simplify right side
   1,523.34x = 1,733,742.88
5. Step 5: Solve for x
   x = 1,733,742.88/1,523.34
6. Step 6: Final answer
   x = 1,138.12