Finding the Fourth Proportional to 10,034.42, 13,847.22 and 5,785.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034.42 : 13,847.22 = 5,785.40 : x
2. Step 2: Convert to fraction form
   10,034.42/13,847.22 = 5,785.40/x
3. Step 3: Cross multiply
   10,034.42x = 13,847.22 × 5,785.40
4. Step 4: Simplify right side
   10,034.42x = 80,111,706.59
5. Step 5: Solve for x
   x = 80,111,706.59/10,034.42
6. Step 6: Final answer
   x = 7,983.69