Finding the Fourth Proportional to 10,097.56, 15,144.06 and 3,855.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.56 : 15,144.06 = 3,855.35 : x
2. Step 2: Convert to fraction form
   10,097.56/15,144.06 = 3,855.35/x
3. Step 3: Cross multiply
   10,097.56x = 15,144.06 × 3,855.35
4. Step 4: Simplify right side
   10,097.56x = 58,385,618.85
5. Step 5: Solve for x
   x = 58,385,618.85/10,097.56
6. Step 6: Final answer
   x = 5,782.15