Finding the Fourth Proportional to 6,522.17, 9,779.00 and 4,294.26

Step by Step Solution

1. Step 1: Write the proportion equation
   6,522.17 : 9,779.00 = 4,294.26 : x
2. Step 2: Convert to fraction form
   6,522.17/9,779.00 = 4,294.26/x
3. Step 3: Cross multiply
   6,522.17x = 9,779.00 × 4,294.26
4. Step 4: Simplify right side
   6,522.17x = 41,993,498.17
5. Step 5: Solve for x
   x = 41,993,498.17/6,522.17
6. Step 6: Final answer
   x = 6,438.58