Finding the Fourth Proportional to 10,462.04, 14,437.56 and 5,681.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.04 : 14,437.56 = 5,681.94 : x
2. Step 2: Convert to fraction form
   10,462.04/14,437.56 = 5,681.94/x
3. Step 3: Cross multiply
   10,462.04x = 14,437.56 × 5,681.94
4. Step 4: Simplify right side
   10,462.04x = 82,033,349.67
5. Step 5: Solve for x
   x = 82,033,349.67/10,462.04
6. Step 6: Final answer
   x = 7,841.05