Finding the Fourth Proportional to 10,314.42, 15,476.40 and 5,120.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.42 : 15,476.40 = 5,120.16 : x
2. Step 2: Convert to fraction form
   10,314.42/15,476.40 = 5,120.16/x
3. Step 3: Cross multiply
   10,314.42x = 15,476.40 × 5,120.16
4. Step 4: Simplify right side
   10,314.42x = 79,241,644.22
5. Step 5: Solve for x
   x = 79,241,644.22/10,314.42
6. Step 6: Final answer
   x = 7,682.61