Finding the Fourth Proportional to 9,624.90, 14,426.38 and 4,074.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624.90 : 14,426.38 = 4,074.78 : x
2. Step 2: Convert to fraction form
   9,624.90/14,426.38 = 4,074.78/x
3. Step 3: Cross multiply
   9,624.90x = 14,426.38 × 4,074.78
4. Step 4: Simplify right side
   9,624.90x = 58,784,324.70
5. Step 5: Solve for x
   x = 58,784,324.70/9,624.90
6. Step 6: Final answer
   x = 6,107.53