Finding the Fourth Proportional to 9,851.35, 14,753.53 and 5,682.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,851.35 : 14,753.53 = 5,682.64 : x
2. Step 2: Convert to fraction form
   9,851.35/14,753.53 = 5,682.64/x
3. Step 3: Cross multiply
   9,851.35x = 14,753.53 × 5,682.64
4. Step 4: Simplify right side
   9,851.35x = 83,838,999.72
5. Step 5: Solve for x
   x = 83,838,999.72/9,851.35
6. Step 6: Final answer
   x = 8,510.41