Finding the Fourth Proportional to 10,493.08, 14,480.54 and 5,777.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.08 : 14,480.54 = 5,777.60 : x
2. Step 2: Convert to fraction form
   10,493.08/14,480.54 = 5,777.60/x
3. Step 3: Cross multiply
   10,493.08x = 14,480.54 × 5,777.60
4. Step 4: Simplify right side
   10,493.08x = 83,662,767.90
5. Step 5: Solve for x
   x = 83,662,767.90/10,493.08
6. Step 6: Final answer
   x = 7,973.14