Finding the Fourth Proportional to 10,012.06, 13,816.74 and 5,764.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.06 : 13,816.74 = 5,764.02 : x
2. Step 2: Convert to fraction form
   10,012.06/13,816.74 = 5,764.02/x
3. Step 3: Cross multiply
   10,012.06x = 13,816.74 × 5,764.02
4. Step 4: Simplify right side
   10,012.06x = 79,639,965.69
5. Step 5: Solve for x
   x = 79,639,965.69/10,012.06
6. Step 6: Final answer
   x = 7,954.40