Finding the Fourth Proportional to 10,556.47, 14,567.81 and 5,776.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,556.47 : 14,567.81 = 5,776.39 : x
2. Step 2: Convert to fraction form
   10,556.47/14,567.81 = 5,776.39/x
3. Step 3: Cross multiply
   10,556.47x = 14,567.81 × 5,776.39
4. Step 4: Simplify right side
   10,556.47x = 84,149,433.16
5. Step 5: Solve for x
   x = 84,149,433.16/10,556.47
6. Step 6: Final answer
   x = 7,971.36