Finding the Fourth Proportional to 10,417.10, 15,627.86 and 5,976.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.10 : 15,627.86 = 5,976.80 : x
2. Step 2: Convert to fraction form
   10,417.10/15,627.86 = 5,976.80/x
3. Step 3: Cross multiply
   10,417.10x = 15,627.86 × 5,976.80
4. Step 4: Simplify right side
   10,417.10x = 93,404,593.65
5. Step 5: Solve for x
   x = 93,404,593.65/10,417.10
6. Step 6: Final answer
   x = 8,966.47