Finding the Fourth Proportional to 9,549.60, 13,178.40 and 5,300.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,549.60 : 13,178.40 = 5,300.71 : x
2. Step 2: Convert to fraction form
   9,549.60/13,178.40 = 5,300.71/x
3. Step 3: Cross multiply
   9,549.60x = 13,178.40 × 5,300.71
4. Step 4: Simplify right side
   9,549.60x = 69,854,817.21
5. Step 5: Solve for x
   x = 69,854,817.21/9,549.60
6. Step 6: Final answer
   x = 7,314.95