Finding the Fourth Proportional to 10,300.17, 14,214.07 and 5,823.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.17 : 14,214.07 = 5,823.78 : x
2. Step 2: Convert to fraction form
   10,300.17/14,214.07 = 5,823.78/x
3. Step 3: Cross multiply
   10,300.17x = 14,214.07 × 5,823.78
4. Step 4: Simplify right side
   10,300.17x = 82,779,616.58
5. Step 5: Solve for x
   x = 82,779,616.58/10,300.17
6. Step 6: Final answer
   x = 8,036.72