Finding the Fourth Proportional to 10,009.86, 13,813.47 and 5,533.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,009.86 : 13,813.47 = 5,533.62 : x
2. Step 2: Convert to fraction form
   10,009.86/13,813.47 = 5,533.62/x
3. Step 3: Cross multiply
   10,009.86x = 13,813.47 × 5,533.62
4. Step 4: Simplify right side
   10,009.86x = 76,438,493.86
5. Step 5: Solve for x
   x = 76,438,493.86/10,009.86
6. Step 6: Final answer
   x = 7,636.32