Finding the Fourth Proportional to 2,123.46, 3,184.58 and 824.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.46 : 3,184.58 = 824.63 : x
2. Step 2: Convert to fraction form
   2,123.46/3,184.58 = 824.63/x
3. Step 3: Cross multiply
   2,123.46x = 3,184.58 × 824.63
4. Step 4: Simplify right side
   2,123.46x = 2,626,086.34
5. Step 5: Solve for x
   x = 2,626,086.34/2,123.46
6. Step 6: Final answer
   x = 1,236.70