Finding the Fourth Proportional to 10,420.07, 14,379.69 and 5,704.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.07 : 14,379.69 = 5,704.35 : x
2. Step 2: Convert to fraction form
   10,420.07/14,379.69 = 5,704.35/x
3. Step 3: Cross multiply
   10,420.07x = 14,379.69 × 5,704.35
4. Step 4: Simplify right side
   10,420.07x = 82,026,764.32
5. Step 5: Solve for x
   x = 82,026,764.32/10,420.07
6. Step 6: Final answer
   x = 7,872.00