Finding the Fourth Proportional to 10,498.22, 14,487.54 and 5,782.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.22 : 14,487.54 = 5,782.52 : x
2. Step 2: Convert to fraction form
   10,498.22/14,487.54 = 5,782.52/x
3. Step 3: Cross multiply
   10,498.22x = 14,487.54 × 5,782.52
4. Step 4: Simplify right side
   10,498.22x = 83,774,489.80
5. Step 5: Solve for x
   x = 83,774,489.80/10,498.22
6. Step 6: Final answer
   x = 7,979.88