Finding the Fourth Proportional to 10,498.02, 14,487.24 and 5,782.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.02 : 14,487.24 = 5,782.26 : x
2. Step 2: Convert to fraction form
   10,498.02/14,487.24 = 5,782.26/x
3. Step 3: Cross multiply
   10,498.02x = 14,487.24 × 5,782.26
4. Step 4: Simplify right side
   10,498.02x = 83,768,988.36
5. Step 5: Solve for x
   x = 83,768,988.36/10,498.02
6. Step 6: Final answer
   x = 7,979.50