Finding the Fourth Proportional to 10,498.25, 14,487.59 and 5,782.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.25 : 14,487.59 = 5,782.53 : x
2. Step 2: Convert to fraction form
   10,498.25/14,487.59 = 5,782.53/x
3. Step 3: Cross multiply
   10,498.25x = 14,487.59 × 5,782.53
4. Step 4: Simplify right side
   10,498.25x = 83,774,894.89
5. Step 5: Solve for x
   x = 83,774,894.89/10,498.25
6. Step 6: Final answer
   x = 7,979.89