Finding the Fourth Proportional to 31,826.40, 43,918.56 and 17,678.40

Step by Step Solution

1. Step 1: Write the proportion equation
   31,826.40 : 43,918.56 = 17,678.40 : x
2. Step 2: Convert to fraction form
   31,826.40/43,918.56 = 17,678.40/x
3. Step 3: Cross multiply
   31,826.40x = 43,918.56 × 17,678.40
4. Step 4: Simplify right side
   31,826.40x = 776,409,871.10
5. Step 5: Solve for x
   x = 776,409,871.10/31,826.40
6. Step 6: Final answer
   x = 24,395.15