Finding the Fourth Proportional to 10,457.02, 14,430.69 and 5,676.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.02 : 14,430.69 = 5,676.96 : x
2. Step 2: Convert to fraction form
   10,457.02/14,430.69 = 5,676.96/x
3. Step 3: Cross multiply
   10,457.02x = 14,430.69 × 5,676.96
4. Step 4: Simplify right side
   10,457.02x = 81,922,449.90
5. Step 5: Solve for x
   x = 81,922,449.90/10,457.02
6. Step 6: Final answer
   x = 7,834.21