Finding the Fourth Proportional to 9,093.71, 13,631.47 and 3,830.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,093.71 : 13,631.47 = 3,830.00 : x
2. Step 2: Convert to fraction form
   9,093.71/13,631.47 = 3,830.00/x
3. Step 3: Cross multiply
   9,093.71x = 13,631.47 × 3,830.00
4. Step 4: Simplify right side
   9,093.71x = 52,208,452.37
5. Step 5: Solve for x
   x = 52,208,452.37/9,093.71
6. Step 6: Final answer
   x = 5,741.16