Finding the Fourth Proportional to 10,494.88, 14,483.88 and 5,780.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.88 : 14,483.88 = 5,780.20 : x
2. Step 2: Convert to fraction form
   10,494.88/14,483.88 = 5,780.20/x
3. Step 3: Cross multiply
   10,494.88x = 14,483.88 × 5,780.20
4. Step 4: Simplify right side
   10,494.88x = 83,719,723.18
5. Step 5: Solve for x
   x = 83,719,723.18/10,494.88
6. Step 6: Final answer
   x = 7,977.20