Finding the Fourth Proportional to 31,826.64, 43,921.76 and 17,680.60

Step by Step Solution

1. Step 1: Write the proportion equation
   31,826.64 : 43,921.76 = 17,680.60 : x
2. Step 2: Convert to fraction form
   31,826.64/43,921.76 = 17,680.60/x
3. Step 3: Cross multiply
   31,826.64x = 43,921.76 × 17,680.60
4. Step 4: Simplify right side
   31,826.64x = 776,563,069.86
5. Step 5: Solve for x
   x = 776,563,069.86/31,826.64
6. Step 6: Final answer
   x = 24,399.78