Finding the Fourth Proportional to 10,971.76, 16,459.34 and 3,574.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,971.76 : 16,459.34 = 3,574.49 : x
2. Step 2: Convert to fraction form
   10,971.76/16,459.34 = 3,574.49/x
3. Step 3: Cross multiply
   10,971.76x = 16,459.34 × 3,574.49
4. Step 4: Simplify right side
   10,971.76x = 58,833,796.32
5. Step 5: Solve for x
   x = 58,833,796.32/10,971.76
6. Step 6: Final answer
   x = 5,362.29