Finding the Fourth Proportional to 10,497, 14,485.86 and 5,781.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,497 : 14,485.86 = 5,781.27 : x
2. Step 2: Convert to fraction form
   10,497/14,485.86 = 5,781.27/x
3. Step 3: Cross multiply
   10,497x = 14,485.86 × 5,781.27
4. Step 4: Simplify right side
   10,497x = 83,746,667.84
5. Step 5: Solve for x
   x = 83,746,667.84/10,497
6. Step 6: Final answer
   x = 7,978.15