Finding the Fourth Proportional to 10,476.23, 14,457.45 and 5,696.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,476.23 : 14,457.45 = 5,696.46 : x
2. Step 2: Convert to fraction form
   10,476.23/14,457.45 = 5,696.46/x
3. Step 3: Cross multiply
   10,476.23x = 14,457.45 × 5,696.46
4. Step 4: Simplify right side
   10,476.23x = 82,356,213.34
5. Step 5: Solve for x
   x = 82,356,213.34/10,476.23
6. Step 6: Final answer
   x = 7,861.25