Finding the Fourth Proportional to 10,009.85, 13,813.50 and 5,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,009.85 : 13,813.50 = 5,533.50 : x
2. Step 2: Convert to fraction form
   10,009.85/13,813.50 = 5,533.50/x
3. Step 3: Cross multiply
   10,009.85x = 13,813.50 × 5,533.50
4. Step 4: Simplify right side
   10,009.85x = 76,437,002.25
5. Step 5: Solve for x
   x = 76,437,002.25/10,009.85
6. Step 6: Final answer
   x = 7,636.18