Finding the Fourth Proportional to 10,412.25, 14,368.94 and 5,696.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.25 : 14,368.94 = 5,696.49 : x
2. Step 2: Convert to fraction form
   10,412.25/14,368.94 = 5,696.49/x
3. Step 3: Cross multiply
   10,412.25x = 14,368.94 × 5,696.49
4. Step 4: Simplify right side
   10,412.25x = 81,852,494.54
5. Step 5: Solve for x
   x = 81,852,494.54/10,412.25
6. Step 6: Final answer
   x = 7,861.17