Finding the Fourth Proportional to 10,493.32, 14,479.86 and 5,777.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.32 : 14,479.86 = 5,777.80 : x
2. Step 2: Convert to fraction form
   10,493.32/14,479.86 = 5,777.80/x
3. Step 3: Cross multiply
   10,493.32x = 14,479.86 × 5,777.80
4. Step 4: Simplify right side
   10,493.32x = 83,661,735.11
5. Step 5: Solve for x
   x = 83,661,735.11/10,493.32
6. Step 6: Final answer
   x = 7,972.86