Finding the Fourth Proportional to 9,778.44, 13,494.42 and 5,302.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.44 : 13,494.42 = 5,302.34 : x
2. Step 2: Convert to fraction form
   9,778.44/13,494.42 = 5,302.34/x
3. Step 3: Cross multiply
   9,778.44x = 13,494.42 × 5,302.34
4. Step 4: Simplify right side
   9,778.44x = 71,552,002.94
5. Step 5: Solve for x
   x = 71,552,002.94/9,778.44
6. Step 6: Final answer
   x = 7,317.32