Finding the Fourth Proportional to 10,493.01, 14,480.37 and 5,777.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.01 : 14,480.37 = 5,777.30 : x
2. Step 2: Convert to fraction form
   10,493.01/14,480.37 = 5,777.30/x
3. Step 3: Cross multiply
   10,493.01x = 14,480.37 × 5,777.30
4. Step 4: Simplify right side
   10,493.01x = 83,657,477.80
5. Step 5: Solve for x
   x = 83,657,477.80/10,493.01
6. Step 6: Final answer
   x = 7,972.69