Finding the Fourth Proportional to 6,006.53, 8,294.72 and 5,679.29

Step by Step Solution

1. Step 1: Write the proportion equation
   6,006.53 : 8,294.72 = 5,679.29 : x
2. Step 2: Convert to fraction form
   6,006.53/8,294.72 = 5,679.29/x
3. Step 3: Cross multiply
   6,006.53x = 8,294.72 × 5,679.29
4. Step 4: Simplify right side
   6,006.53x = 47,108,091.95
5. Step 5: Solve for x
   x = 47,108,091.95/6,006.53
6. Step 6: Final answer
   x = 7,842.81