Finding the Fourth Proportional to 10,462.19, 14,437.76 and 5,682.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.19 : 14,437.76 = 5,682.08 : x
2. Step 2: Convert to fraction form
   10,462.19/14,437.76 = 5,682.08/x
3. Step 3: Cross multiply
   10,462.19x = 14,437.76 × 5,682.08
4. Step 4: Simplify right side
   10,462.19x = 82,036,406.74
5. Step 5: Solve for x
   x = 82,036,406.74/10,462.19
6. Step 6: Final answer
   x = 7,841.23