Finding the Fourth Proportional to 9,827.90, 13,563.69 and 5,580.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.90 : 13,563.69 = 5,580.28 : x
2. Step 2: Convert to fraction form
   9,827.90/13,563.69 = 5,580.28/x
3. Step 3: Cross multiply
   9,827.90x = 13,563.69 × 5,580.28
4. Step 4: Simplify right side
   9,827.90x = 75,689,154.12
5. Step 5: Solve for x
   x = 75,689,154.12/9,827.90
6. Step 6: Final answer
   x = 7,701.46