Finding the Fourth Proportional to 10,119.51, 13,961.61 and 5,642.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.51 : 13,961.61 = 5,642.46 : x
2. Step 2: Convert to fraction form
   10,119.51/13,961.61 = 5,642.46/x
3. Step 3: Cross multiply
   10,119.51x = 13,961.61 × 5,642.46
4. Step 4: Simplify right side
   10,119.51x = 78,777,825.96
5. Step 5: Solve for x
   x = 78,777,825.96/10,119.51
6. Step 6: Final answer
   x = 7,784.75