Finding the Fourth Proportional to 9,262.83, 12,782.61 and 5,013.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,262.83 : 12,782.61 = 5,013.80 : x
2. Step 2: Convert to fraction form
   9,262.83/12,782.61 = 5,013.80/x
3. Step 3: Cross multiply
   9,262.83x = 12,782.61 × 5,013.80
4. Step 4: Simplify right side
   9,262.83x = 64,089,450.02
5. Step 5: Solve for x
   x = 64,089,450.02/9,262.83
6. Step 6: Final answer
   x = 6,918.99