Finding the Fourth Proportional to 10,476.31, 14,457.59 and 5,696.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,476.31 : 14,457.59 = 5,696.57 : x
2. Step 2: Convert to fraction form
   10,476.31/14,457.59 = 5,696.57/x
3. Step 3: Cross multiply
   10,476.31x = 14,457.59 × 5,696.57
4. Step 4: Simplify right side
   10,476.31x = 82,358,673.47
5. Step 5: Solve for x
   x = 82,358,673.47/10,476.31
6. Step 6: Final answer
   x = 7,861.42