Finding the Fourth Proportional to 10,412.58, 14,369.55 and 5,697.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.58 : 14,369.55 = 5,697.16 : x
2. Step 2: Convert to fraction form
   10,412.58/14,369.55 = 5,697.16/x
3. Step 3: Cross multiply
   10,412.58x = 14,369.55 × 5,697.16
4. Step 4: Simplify right side
   10,412.58x = 81,865,625.48
5. Step 5: Solve for x
   x = 81,865,625.48/10,412.58
6. Step 6: Final answer
   x = 7,862.18