Finding the Fourth Proportional to 31,777.84, 47,667.04 and 8,085.41

Step by Step Solution

1. Step 1: Write the proportion equation
   31,777.84 : 47,667.04 = 8,085.41 : x
2. Step 2: Convert to fraction form
   31,777.84/47,667.04 = 8,085.41/x
3. Step 3: Cross multiply
   31,777.84x = 47,667.04 × 8,085.41
4. Step 4: Simplify right side
   31,777.84x = 385,407,561.89
5. Step 5: Solve for x
   x = 385,407,561.89/31,777.84
6. Step 6: Final answer
   x = 12,128.19