Finding the Fourth Proportional to 10,550.78, 14,559.48 and 5,834.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,550.78 : 14,559.48 = 5,834.76 : x
2. Step 2: Convert to fraction form
   10,550.78/14,559.48 = 5,834.76/x
3. Step 3: Cross multiply
   10,550.78x = 14,559.48 × 5,834.76
4. Step 4: Simplify right side
   10,550.78x = 84,951,071.52
5. Step 5: Solve for x
   x = 84,951,071.52/10,550.78
6. Step 6: Final answer
   x = 8,051.64