Finding the Fourth Proportional to 9,530.83, 14,296.14 and 3,683.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,530.83 : 14,296.14 = 3,683.34 : x
2. Step 2: Convert to fraction form
   9,530.83/14,296.14 = 3,683.34/x
3. Step 3: Cross multiply
   9,530.83x = 14,296.14 × 3,683.34
4. Step 4: Simplify right side
   9,530.83x = 52,657,544.31
5. Step 5: Solve for x
   x = 52,657,544.31/9,530.83
6. Step 6: Final answer
   x = 5,524.97