Finding the Fourth Proportional to 9,684.47, 13,364.10 and 5,377.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.47 : 13,364.10 = 5,377.30 : x
2. Step 2: Convert to fraction form
   9,684.47/13,364.10 = 5,377.30/x
3. Step 3: Cross multiply
   9,684.47x = 13,364.10 × 5,377.30
4. Step 4: Simplify right side
   9,684.47x = 71,862,741.52
5. Step 5: Solve for x
   x = 71,862,741.52/9,684.47
6. Step 6: Final answer
   x = 7,420.41