Finding the Fourth Proportional to 12,851.34, 17,735.76 and 7,814.62

Step by Step Solution

1. Step 1: Write the proportion equation
   12,851.34 : 17,735.76 = 7,814.62 : x
2. Step 2: Convert to fraction form
   12,851.34/17,735.76 = 7,814.62/x
3. Step 3: Cross multiply
   12,851.34x = 17,735.76 × 7,814.62
4. Step 4: Simplify right side
   12,851.34x = 138,598,224.81
5. Step 5: Solve for x
   x = 138,598,224.81/12,851.34
6. Step 6: Final answer
   x = 10,784.73