Finding the Fourth Proportional to 31,238.50, 46,854.31 and 7,864.94

Step by Step Solution

1. Step 1: Write the proportion equation
   31,238.50 : 46,854.31 = 7,864.94 : x
2. Step 2: Convert to fraction form
   31,238.50/46,854.31 = 7,864.94/x
3. Step 3: Cross multiply
   31,238.50x = 46,854.31 × 7,864.94
4. Step 4: Simplify right side
   31,238.50x = 368,506,336.89
5. Step 5: Solve for x
   x = 368,506,336.89/31,238.50
6. Step 6: Final answer
   x = 11,796.54