Finding the Fourth Proportional to 78,538.44, 117,856.86 and 31,791.31

Step by Step Solution

1. Step 1: Write the proportion equation
   78,538.44 : 117,856.86 = 31,791.31 : x
2. Step 2: Convert to fraction form
   78,538.44/117,856.86 = 31,791.31/x
3. Step 3: Cross multiply
   78,538.44x = 117,856.86 × 31,791.31
4. Step 4: Simplify right side
   78,538.44x = 3,746,823,971.89
5. Step 5: Solve for x
   x = 3,746,823,971.89/78,538.44
6. Step 6: Final answer
   x = 47,706.88