Finding the Fourth Proportional to 6,585.29, 9,091.01 and 5,089.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,585.29 : 9,091.01 = 5,089.83 : x
2. Step 2: Convert to fraction form
   6,585.29/9,091.01 = 5,089.83/x
3. Step 3: Cross multiply
   6,585.29x = 9,091.01 × 5,089.83
4. Step 4: Simplify right side
   6,585.29x = 46,271,647.25
5. Step 5: Solve for x
   x = 46,271,647.25/6,585.29
6. Step 6: Final answer
   x = 7,026.52