Finding the Fourth Proportional to 9,778.80, 13,494.72 and 5,471.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.80 : 13,494.72 = 5,471.89 : x
2. Step 2: Convert to fraction form
   9,778.80/13,494.72 = 5,471.89/x
3. Step 3: Cross multiply
   9,778.80x = 13,494.72 × 5,471.89
4. Step 4: Simplify right side
   9,778.80x = 73,841,623.42
5. Step 5: Solve for x
   x = 73,841,623.42/9,778.80
6. Step 6: Final answer
   x = 7,551.19