Finding the Fourth Proportional to 10,594.81, 14,620.82 and 5,814.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,594.81 : 14,620.82 = 5,814.78 : x
2. Step 2: Convert to fraction form
   10,594.81/14,620.82 = 5,814.78/x
3. Step 3: Cross multiply
   10,594.81x = 14,620.82 × 5,814.78
4. Step 4: Simplify right side
   10,594.81x = 85,016,851.72
5. Step 5: Solve for x
   x = 85,016,851.72/10,594.81
6. Step 6: Final answer
   x = 8,024.39