Finding the Fourth Proportional to 10,059.56, 15,090.50 and 3,824.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.56 : 15,090.50 = 3,824.24 : x
2. Step 2: Convert to fraction form
   10,059.56/15,090.50 = 3,824.24/x
3. Step 3: Cross multiply
   10,059.56x = 15,090.50 × 3,824.24
4. Step 4: Simplify right side
   10,059.56x = 57,709,599.15
5. Step 5: Solve for x
   x = 57,709,599.15/10,059.56
6. Step 6: Final answer
   x = 5,736.79