Finding the Fourth Proportional to 10,145.84, 13,978.97 and 7,582.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,145.84 : 13,978.97 = 7,582.86 : x
2. Step 2: Convert to fraction form
   10,145.84/13,978.97 = 7,582.86/x
3. Step 3: Cross multiply
   10,145.84x = 13,978.97 × 7,582.86
4. Step 4: Simplify right side
   10,145.84x = 106,000,572.45
5. Step 5: Solve for x
   x = 106,000,572.45/10,145.84
6. Step 6: Final answer
   x = 10,447.69