Finding the Fourth Proportional to 10,457, 14,430.30 and 5,676.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457 : 14,430.30 = 5,676.74 : x
2. Step 2: Convert to fraction form
   10,457/14,430.30 = 5,676.74/x
3. Step 3: Cross multiply
   10,457x = 14,430.30 × 5,676.74
4. Step 4: Simplify right side
   10,457x = 81,917,061.22
5. Step 5: Solve for x
   x = 81,917,061.22/10,457
6. Step 6: Final answer
   x = 7,833.71