Finding the Fourth Proportional to 10,498.44, 14,486.88 and 5,781.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.44 : 14,486.88 = 5,781.60 : x
2. Step 2: Convert to fraction form
   10,498.44/14,486.88 = 5,781.60/x
3. Step 3: Cross multiply
   10,498.44x = 14,486.88 × 5,781.60
4. Step 4: Simplify right side
   10,498.44x = 83,757,345.41
5. Step 5: Solve for x
   x = 83,757,345.41/10,498.44
6. Step 6: Final answer
   x = 7,978.08