Finding the Fourth Proportional to 10,004.10, 13,806.17 and 5,527.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.10 : 13,806.17 = 5,527.81 : x
2. Step 2: Convert to fraction form
   10,004.10/13,806.17 = 5,527.81/x
3. Step 3: Cross multiply
   10,004.10x = 13,806.17 × 5,527.81
4. Step 4: Simplify right side
   10,004.10x = 76,317,884.59
5. Step 5: Solve for x
   x = 76,317,884.59/10,004.10
6. Step 6: Final answer
   x = 7,628.66