Finding the Fourth Proportional to 10,624.74, 14,662.52 and 5,845.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624.74 : 14,662.52 = 5,845.05 : x
2. Step 2: Convert to fraction form
   10,624.74/14,662.52 = 5,845.05/x
3. Step 3: Cross multiply
   10,624.74x = 14,662.52 × 5,845.05
4. Step 4: Simplify right side
   10,624.74x = 85,703,133.30
5. Step 5: Solve for x
   x = 85,703,133.30/10,624.74
6. Step 6: Final answer
   x = 8,066.37