Finding the Fourth Proportional to 17,663.32, 26,451.78 and 8,407

Step by Step Solution

1. Step 1: Write the proportion equation
   17,663.32 : 26,451.78 = 8,407 : x
2. Step 2: Convert to fraction form
   17,663.32/26,451.78 = 8,407/x
3. Step 3: Cross multiply
   17,663.32x = 26,451.78 × 8,407
4. Step 4: Simplify right side
   17,663.32x = 222,380,114.46
5. Step 5: Solve for x
   x = 222,380,114.46/17,663.32
6. Step 6: Final answer
   x = 12,589.94