Finding the Fourth Proportional to 11,854.86, 17,779.05 and 4,463.34

Step by Step Solution

1. Step 1: Write the proportion equation
   11,854.86 : 17,779.05 = 4,463.34 : x
2. Step 2: Convert to fraction form
   11,854.86/17,779.05 = 4,463.34/x
3. Step 3: Cross multiply
   11,854.86x = 17,779.05 × 4,463.34
4. Step 4: Simplify right side
   11,854.86x = 79,353,945.03
5. Step 5: Solve for x
   x = 79,353,945.03/11,854.86
6. Step 6: Final answer
   x = 6,693.79