Finding the Fourth Proportional to 9,985.89, 13,782.33 and 5,794.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,985.89 : 13,782.33 = 5,794.14 : x
2. Step 2: Convert to fraction form
   9,985.89/13,782.33 = 5,794.14/x
3. Step 3: Cross multiply
   9,985.89x = 13,782.33 × 5,794.14
4. Step 4: Simplify right side
   9,985.89x = 79,856,749.55
5. Step 5: Solve for x
   x = 79,856,749.55/9,985.89
6. Step 6: Final answer
   x = 7,996.96