Finding the Fourth Proportional to 10,034.13, 13,846.86 and 5,557.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034.13 : 13,846.86 = 5,557.80 : x
2. Step 2: Convert to fraction form
   10,034.13/13,846.86 = 5,557.80/x
3. Step 3: Cross multiply
   10,034.13x = 13,846.86 × 5,557.80
4. Step 4: Simplify right side
   10,034.13x = 76,958,078.51
5. Step 5: Solve for x
   x = 76,958,078.51/10,034.13
6. Step 6: Final answer
   x = 7,669.63