Finding the Fourth Proportional to 6,506.89, 9,762.59 and 4,729.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,506.89 : 9,762.59 = 4,729.61 : x
2. Step 2: Convert to fraction form
   6,506.89/9,762.59 = 4,729.61/x
3. Step 3: Cross multiply
   6,506.89x = 9,762.59 × 4,729.61
4. Step 4: Simplify right side
   6,506.89x = 46,173,279.52
5. Step 5: Solve for x
   x = 46,173,279.52/6,506.89
6. Step 6: Final answer
   x = 7,096.06