Finding the Fourth Proportional to 9,828.53, 13,564.62 and 5,580.99

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828.53 : 13,564.62 = 5,580.99 : x
2. Step 2: Convert to fraction form
   9,828.53/13,564.62 = 5,580.99/x
3. Step 3: Cross multiply
   9,828.53x = 13,564.62 × 5,580.99
4. Step 4: Simplify right side
   9,828.53x = 75,704,008.57
5. Step 5: Solve for x
   x = 75,704,008.57/9,828.53
6. Step 6: Final answer
   x = 7,702.48