Finding the Fourth Proportional to 10,303.94, 14,219.32 and 5,827.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,303.94 : 14,219.32 = 5,827.74 : x
2. Step 2: Convert to fraction form
   10,303.94/14,219.32 = 5,827.74/x
3. Step 3: Cross multiply
   10,303.94x = 14,219.32 × 5,827.74
4. Step 4: Simplify right side
   10,303.94x = 82,866,499.94
5. Step 5: Solve for x
   x = 82,866,499.94/10,303.94
6. Step 6: Final answer
   x = 8,042.21