Finding the Fourth Proportional to 10,622.70, 14,659.42 and 5,777.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,622.70 : 14,659.42 = 5,777.47 : x
2. Step 2: Convert to fraction form
   10,622.70/14,659.42 = 5,777.47/x
3. Step 3: Cross multiply
   10,622.70x = 14,659.42 × 5,777.47
4. Step 4: Simplify right side
   10,622.70x = 84,694,297.34
5. Step 5: Solve for x
   x = 84,694,297.34/10,622.70
6. Step 6: Final answer
   x = 7,972.96