Finding the Fourth Proportional to 10,518.32, 14,515.08 and 5,738.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,518.32 : 14,515.08 = 5,738.06 : x
2. Step 2: Convert to fraction form
   10,518.32/14,515.08 = 5,738.06/x
3. Step 3: Cross multiply
   10,518.32x = 14,515.08 × 5,738.06
4. Step 4: Simplify right side
   10,518.32x = 83,288,399.94
5. Step 5: Solve for x
   x = 83,288,399.94/10,518.32
6. Step 6: Final answer
   x = 7,918.41