Finding the Fourth Proportional to 9,734.10, 14,590.70 and 5,049.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,734.10 : 14,590.70 = 5,049.42 : x
2. Step 2: Convert to fraction form
   9,734.10/14,590.70 = 5,049.42/x
3. Step 3: Cross multiply
   9,734.10x = 14,590.70 × 5,049.42
4. Step 4: Simplify right side
   9,734.10x = 73,674,572.39
5. Step 5: Solve for x
   x = 73,674,572.39/9,734.10
6. Step 6: Final answer
   x = 7,568.71