Finding the Fourth Proportional to 10,457.84, 15,672.16 and 5,780.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.84 : 15,672.16 = 5,780.09 : x
2. Step 2: Convert to fraction form
   10,457.84/15,672.16 = 5,780.09/x
3. Step 3: Cross multiply
   10,457.84x = 15,672.16 × 5,780.09
4. Step 4: Simplify right side
   10,457.84x = 90,586,495.29
5. Step 5: Solve for x
   x = 90,586,495.29/10,457.84
6. Step 6: Final answer
   x = 8,662.07