Finding the Fourth Proportional to 9,779.68, 14,669.56 and 2,854.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,779.68 : 14,669.56 = 2,854.72 : x
2. Step 2: Convert to fraction form
   9,779.68/14,669.56 = 2,854.72/x
3. Step 3: Cross multiply
   9,779.68x = 14,669.56 × 2,854.72
4. Step 4: Simplify right side
   9,779.68x = 41,877,486.32
5. Step 5: Solve for x
   x = 41,877,486.32/9,779.68
6. Step 6: Final answer
   x = 4,282.09