Finding the Fourth Proportional to 10,005.47, 15,021.87 and 5,626.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.47 : 15,021.87 = 5,626.00 : x
2. Step 2: Convert to fraction form
   10,005.47/15,021.87 = 5,626.00/x
3. Step 3: Cross multiply
   10,005.47x = 15,021.87 × 5,626.00
4. Step 4: Simplify right side
   10,005.47x = 84,513,003.07
5. Step 5: Solve for x
   x = 84,513,003.07/10,005.47
6. Step 6: Final answer
   x = 8,446.68