Finding the Fourth Proportional to 10,013.10, 13,819.45 and 5,764.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.10 : 13,819.45 = 5,764.07 : x
2. Step 2: Convert to fraction form
   10,013.10/13,819.45 = 5,764.07/x
3. Step 3: Cross multiply
   10,013.10x = 13,819.45 × 5,764.07
4. Step 4: Simplify right side
   10,013.10x = 79,656,277.16
5. Step 5: Solve for x
   x = 79,656,277.16/10,013.10
6. Step 6: Final answer
   x = 7,955.21