Finding the Fourth Proportional to 10,498.50, 14,487.93 and 5,782.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.50 : 14,487.93 = 5,782.78 : x
2. Step 2: Convert to fraction form
   10,498.50/14,487.93 = 5,782.78/x
3. Step 3: Cross multiply
   10,498.50x = 14,487.93 × 5,782.78
4. Step 4: Simplify right side
   10,498.50x = 83,780,511.85
5. Step 5: Solve for x
   x = 83,780,511.85/10,498.50
6. Step 6: Final answer
   x = 7,980.24