Finding the Fourth Proportional to 9,830.53, 13,564.95 and 5,580.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.53 : 13,564.95 = 5,580.05 : x
2. Step 2: Convert to fraction form
   9,830.53/13,564.95 = 5,580.05/x
3. Step 3: Cross multiply
   9,830.53x = 13,564.95 × 5,580.05
4. Step 4: Simplify right side
   9,830.53x = 75,693,099.25
5. Step 5: Solve for x
   x = 75,693,099.25/9,830.53
6. Step 6: Final answer
   x = 7,699.80