Finding the Fourth Proportional to 31,106.89, 46,625.40 and 12,381.82

Step by Step Solution

1. Step 1: Write the proportion equation
   31,106.89 : 46,625.40 = 12,381.82 : x
2. Step 2: Convert to fraction form
   31,106.89/46,625.40 = 12,381.82/x
3. Step 3: Cross multiply
   31,106.89x = 46,625.40 × 12,381.82
4. Step 4: Simplify right side
   31,106.89x = 577,307,193.66
5. Step 5: Solve for x
   x = 577,307,193.66/31,106.89
6. Step 6: Final answer
   x = 18,558.82