Finding the Fourth Proportional to 10,440.06, 15,665.10 and 5,175.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440.06 : 15,665.10 = 5,175.55 : x
2. Step 2: Convert to fraction form
   10,440.06/15,665.10 = 5,175.55/x
3. Step 3: Cross multiply
   10,440.06x = 15,665.10 × 5,175.55
4. Step 4: Simplify right side
   10,440.06x = 81,075,508.31
5. Step 5: Solve for x
   x = 81,075,508.31/10,440.06
6. Step 6: Final answer
   x = 7,765.81