Finding the Fourth Proportional to 10,971.64, 16,459.16 and 3,574.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,971.64 : 16,459.16 = 3,574.37 : x
2. Step 2: Convert to fraction form
   10,971.64/16,459.16 = 3,574.37/x
3. Step 3: Cross multiply
   10,971.64x = 16,459.16 × 3,574.37
4. Step 4: Simplify right side
   10,971.64x = 58,831,109.86
5. Step 5: Solve for x
   x = 58,831,109.86/10,971.64
6. Step 6: Final answer
   x = 5,362.11