Finding the Fourth Proportional to 31,124.22, 46,656.78 and 12,415.74

Step by Step Solution

1. Step 1: Write the proportion equation
   31,124.22 : 46,656.78 = 12,415.74 : x
2. Step 2: Convert to fraction form
   31,124.22/46,656.78 = 12,415.74/x
3. Step 3: Cross multiply
   31,124.22x = 46,656.78 × 12,415.74
4. Step 4: Simplify right side
   31,124.22x = 579,278,449.72
5. Step 5: Solve for x
   x = 579,278,449.72/31,124.22
6. Step 6: Final answer
   x = 18,611.82