Finding the Fourth Proportional to 9,779.16, 14,665.71 and 3,538.44

Step by Step Solution

1. Step 1: Write the proportion equation
   9,779.16 : 14,665.71 = 3,538.44 : x
2. Step 2: Convert to fraction form
   9,779.16/14,665.71 = 3,538.44/x
3. Step 3: Cross multiply
   9,779.16x = 14,665.71 × 3,538.44
4. Step 4: Simplify right side
   9,779.16x = 51,893,734.89
5. Step 5: Solve for x
   x = 51,893,734.89/9,779.16
6. Step 6: Final answer
   x = 5,306.56