Finding the Fourth Proportional to 10,034.85, 13,847.58 and 5,782.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034.85 : 13,847.58 = 5,782.89 : x
2. Step 2: Convert to fraction form
   10,034.85/13,847.58 = 5,782.89/x
3. Step 3: Cross multiply
   10,034.85x = 13,847.58 × 5,782.89
4. Step 4: Simplify right side
   10,034.85x = 80,079,031.91
5. Step 5: Solve for x
   x = 80,079,031.91/10,034.85
6. Step 6: Final answer
   x = 7,980.09