Finding the Fourth Proportional to 6,123.42, 9,185.04 and 1,506.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,123.42 : 9,185.04 = 1,506.42 : x
2. Step 2: Convert to fraction form
   6,123.42/9,185.04 = 1,506.42/x
3. Step 3: Cross multiply
   6,123.42x = 9,185.04 × 1,506.42
4. Step 4: Simplify right side
   6,123.42x = 13,836,527.96
5. Step 5: Solve for x
   x = 13,836,527.96/6,123.42
6. Step 6: Final answer
   x = 2,259.61