Finding the Fourth Proportional to 12,848.48, 17,732.94 and 7,814.30

Step by Step Solution

1. Step 1: Write the proportion equation
   12,848.48 : 17,732.94 = 7,814.30 : x
2. Step 2: Convert to fraction form
   12,848.48/17,732.94 = 7,814.30/x
3. Step 3: Cross multiply
   12,848.48x = 17,732.94 × 7,814.30
4. Step 4: Simplify right side
   12,848.48x = 138,570,513.04
5. Step 5: Solve for x
   x = 138,570,513.04/12,848.48
6. Step 6: Final answer
   x = 10,784.97