Finding the Fourth Proportional to 10,102.59, 13,936.74 and 7,849.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.59 : 13,936.74 = 7,849.04 : x
2. Step 2: Convert to fraction form
   10,102.59/13,936.74 = 7,849.04/x
3. Step 3: Cross multiply
   10,102.59x = 13,936.74 × 7,849.04
4. Step 4: Simplify right side
   10,102.59x = 109,390,014.51
5. Step 5: Solve for x
   x = 109,390,014.51/10,102.59
6. Step 6: Final answer
   x = 10,827.92