Finding the Fourth Proportional to 10,412.64, 14,369.32 and 5,696.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.64 : 14,369.32 = 5,696.80 : x
2. Step 2: Convert to fraction form
   10,412.64/14,369.32 = 5,696.80/x
3. Step 3: Cross multiply
   10,412.64x = 14,369.32 × 5,696.80
4. Step 4: Simplify right side
   10,412.64x = 81,859,142.18
5. Step 5: Solve for x
   x = 81,859,142.18/10,412.64
6. Step 6: Final answer
   x = 7,861.52