Finding the Fourth Proportional to 17,647.10, 26,463.61 and 7,779.38

Step by Step Solution

1. Step 1: Write the proportion equation
   17,647.10 : 26,463.61 = 7,779.38 : x
2. Step 2: Convert to fraction form
   17,647.10/26,463.61 = 7,779.38/x
3. Step 3: Cross multiply
   17,647.10x = 26,463.61 × 7,779.38
4. Step 4: Simplify right side
   17,647.10x = 205,870,355.77
5. Step 5: Solve for x
   x = 205,870,355.77/17,647.10
6. Step 6: Final answer
   x = 11,665.96