Finding the Fourth Proportional to 10,498.33, 14,487.69 and 5,782.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.33 : 14,487.69 = 5,782.58 : x
2. Step 2: Convert to fraction form
   10,498.33/14,487.69 = 5,782.58/x
3. Step 3: Cross multiply
   10,498.33x = 14,487.69 × 5,782.58
4. Step 4: Simplify right side
   10,498.33x = 83,776,226.44
5. Step 5: Solve for x
   x = 83,776,226.44/10,498.33
6. Step 6: Final answer
   x = 7,979.96