Finding the Fourth Proportional to 10,412.10, 14,368.86 and 5,696.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.10 : 14,368.86 = 5,696.46 : x
2. Step 2: Convert to fraction form
   10,412.10/14,368.86 = 5,696.46/x
3. Step 3: Cross multiply
   10,412.10x = 14,368.86 × 5,696.46
4. Step 4: Simplify right side
   10,412.10x = 81,851,636.24
5. Step 5: Solve for x
   x = 81,851,636.24/10,412.10
6. Step 6: Final answer
   x = 7,861.20