Finding the Fourth Proportional to 9,828.47, 13,564.06 and 5,580.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828.47 : 13,564.06 = 5,580.23 : x
2. Step 2: Convert to fraction form
   9,828.47/13,564.06 = 5,580.23/x
3. Step 3: Cross multiply
   9,828.47x = 13,564.06 × 5,580.23
4. Step 4: Simplify right side
   9,828.47x = 75,690,492.76
5. Step 5: Solve for x
   x = 75,690,492.76/9,828.47
6. Step 6: Final answer
   x = 7,701.15