Finding the Fourth Proportional to 7,846.34, 10,827.69 and 4,700.30

Step by Step Solution

1. Step 1: Write the proportion equation
   7,846.34 : 10,827.69 = 4,700.30 : x
2. Step 2: Convert to fraction form
   7,846.34/10,827.69 = 4,700.30/x
3. Step 3: Cross multiply
   7,846.34x = 10,827.69 × 4,700.30
4. Step 4: Simplify right side
   7,846.34x = 50,893,391.31
5. Step 5: Solve for x
   x = 50,893,391.31/7,846.34
6. Step 6: Final answer
   x = 6,486.26