Finding the Fourth Proportional to 10,013.56, 13,819.75 and 5,764.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.56 : 13,819.75 = 5,764.77 : x
2. Step 2: Convert to fraction form
   10,013.56/13,819.75 = 5,764.77/x
3. Step 3: Cross multiply
   10,013.56x = 13,819.75 × 5,764.77
4. Step 4: Simplify right side
   10,013.56x = 79,667,665.80
5. Step 5: Solve for x
   x = 79,667,665.80/10,013.56
6. Step 6: Final answer
   x = 7,955.98