Finding the Fourth Proportional to 10,009.15, 13,812.42 and 5,533.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,009.15 : 13,812.42 = 5,533.09 : x
2. Step 2: Convert to fraction form
   10,009.15/13,812.42 = 5,533.09/x
3. Step 3: Cross multiply
   10,009.15x = 13,812.42 × 5,533.09
4. Step 4: Simplify right side
   10,009.15x = 76,425,328.45
5. Step 5: Solve for x
   x = 76,425,328.45/10,009.15
6. Step 6: Final answer
   x = 7,635.55