Finding the Fourth Proportional to 10,291.20, 14,201.73 and 5,814.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,291.20 : 14,201.73 = 5,814.93 : x
2. Step 2: Convert to fraction form
   10,291.20/14,201.73 = 5,814.93/x
3. Step 3: Cross multiply
   10,291.20x = 14,201.73 × 5,814.93
4. Step 4: Simplify right side
   10,291.20x = 82,582,065.83
5. Step 5: Solve for x
   x = 82,582,065.83/10,291.20
6. Step 6: Final answer
   x = 8,024.53