Finding the Fourth Proportional to 11,419.78, 15,753.54 and 7,643.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,419.78 : 15,753.54 = 7,643.10 : x
2. Step 2: Convert to fraction form
   11,419.78/15,753.54 = 7,643.10/x
3. Step 3: Cross multiply
   11,419.78x = 15,753.54 × 7,643.10
4. Step 4: Simplify right side
   11,419.78x = 120,405,881.57
5. Step 5: Solve for x
   x = 120,405,881.57/11,419.78
6. Step 6: Final answer
   x = 10,543.63