Finding the Fourth Proportional to 9,381.56, 14,072.34 and 3,761.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,381.56 : 14,072.34 = 3,761.78 : x
2. Step 2: Convert to fraction form
   9,381.56/14,072.34 = 3,761.78/x
3. Step 3: Cross multiply
   9,381.56x = 14,072.34 × 3,761.78
4. Step 4: Simplify right side
   9,381.56x = 52,936,976.80
5. Step 5: Solve for x
   x = 52,936,976.80/9,381.56
6. Step 6: Final answer
   x = 5,642.67