Finding the Fourth Proportional to 10,478.42, 14,459.68 and 5,761.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.42 : 14,459.68 = 5,761.80 : x
2. Step 2: Convert to fraction form
   10,478.42/14,459.68 = 5,761.80/x
3. Step 3: Cross multiply
   10,478.42x = 14,459.68 × 5,761.80
4. Step 4: Simplify right side
   10,478.42x = 83,313,784.22
5. Step 5: Solve for x
   x = 83,313,784.22/10,478.42
6. Step 6: Final answer
   x = 7,950.99