Finding the Fourth Proportional to 10,004.00, 13,805.72 and 5,527.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.00 : 13,805.72 = 5,527.94 : x
2. Step 2: Convert to fraction form
   10,004.00/13,805.72 = 5,527.94/x
3. Step 3: Cross multiply
   10,004.00x = 13,805.72 × 5,527.94
4. Step 4: Simplify right side
   10,004.00x = 76,317,095.15
5. Step 5: Solve for x
   x = 76,317,095.15/10,004.00
6. Step 6: Final answer
   x = 7,628.66