Finding the Fourth Proportional to 9,779.07, 14,662.12 and 3,538.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,779.07 : 14,662.12 = 3,538.27 : x
2. Step 2: Convert to fraction form
   9,779.07/14,662.12 = 3,538.27/x
3. Step 3: Cross multiply
   9,779.07x = 14,662.12 × 3,538.27
4. Step 4: Simplify right side
   9,779.07x = 51,878,456.53
5. Step 5: Solve for x
   x = 51,878,456.53/9,779.07
6. Step 6: Final answer
   x = 5,305.05