Finding the Fourth Proportional to 10,034.33, 13,846.77 and 5,557.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034.33 : 13,846.77 = 5,557.81 : x
2. Step 2: Convert to fraction form
   10,034.33/13,846.77 = 5,557.81/x
3. Step 3: Cross multiply
   10,034.33x = 13,846.77 × 5,557.81
4. Step 4: Simplify right side
   10,034.33x = 76,957,716.77
5. Step 5: Solve for x
   x = 76,957,716.77/10,034.33
6. Step 6: Final answer
   x = 7,669.44