Finding the Fourth Proportional to 10,749.58, 14,834.00 and 5,969.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,749.58 : 14,834.00 = 5,969.77 : x
2. Step 2: Convert to fraction form
   10,749.58/14,834.00 = 5,969.77/x
3. Step 3: Cross multiply
   10,749.58x = 14,834.00 × 5,969.77
4. Step 4: Simplify right side
   10,749.58x = 88,555,575.42
5. Step 5: Solve for x
   x = 88,555,575.42/10,749.58
6. Step 6: Final answer
   x = 8,238.05