Finding the Fourth Proportional to 10,495.98, 14,483.80 and 5,780.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,495.98 : 14,483.80 = 5,780.26 : x
2. Step 2: Convert to fraction form
   10,495.98/14,483.80 = 5,780.26/x
3. Step 3: Cross multiply
   10,495.98x = 14,483.80 × 5,780.26
4. Step 4: Simplify right side
   10,495.98x = 83,720,198.13
5. Step 5: Solve for x
   x = 83,720,198.13/10,495.98
6. Step 6: Final answer
   x = 7,976.40