Finding the Fourth Proportional to 32,684, 45,104.64 and 17,780

Step by Step Solution

1. Step 1: Write the proportion equation
   32,684 : 45,104.64 = 17,780 : x
2. Step 2: Convert to fraction form
   32,684/45,104.64 = 17,780/x
3. Step 3: Cross multiply
   32,684x = 45,104.64 × 17,780
4. Step 4: Simplify right side
   32,684x = 801,960,499.20
5. Step 5: Solve for x
   x = 801,960,499.20/32,684
6. Step 6: Final answer
   x = 24,536.79