Finding the Fourth Proportional to 10,086.50, 13,920.48 and 5,780

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.50 : 13,920.48 = 5,780 : x
2. Step 2: Convert to fraction form
   10,086.50/13,920.48 = 5,780/x
3. Step 3: Cross multiply
   10,086.50x = 13,920.48 × 5,780
4. Step 4: Simplify right side
   10,086.50x = 80,460,374.40
5. Step 5: Solve for x
   x = 80,460,374.40/10,086.50
6. Step 6: Final answer
   x = 7,977.04