Finding the Fourth Proportional to 6,506.33, 8,980.37 and 5,842.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,506.33 : 8,980.37 = 5,842.02 : x
2. Step 2: Convert to fraction form
   6,506.33/8,980.37 = 5,842.02/x
3. Step 3: Cross multiply
   6,506.33x = 8,980.37 × 5,842.02
4. Step 4: Simplify right side
   6,506.33x = 52,463,527.52
5. Step 5: Solve for x
   x = 52,463,527.52/6,506.33
6. Step 6: Final answer
   x = 8,063.47