Finding the Fourth Proportional to 9,153.38, 12,624.99 and 5,796.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,153.38 : 12,624.99 = 5,796.74 : x
2. Step 2: Convert to fraction form
   9,153.38/12,624.99 = 5,796.74/x
3. Step 3: Cross multiply
   9,153.38x = 12,624.99 × 5,796.74
4. Step 4: Simplify right side
   9,153.38x = 73,183,784.53
5. Step 5: Solve for x
   x = 73,183,784.53/9,153.38
6. Step 6: Final answer
   x = 7,995.27