Finding the Fourth Proportional to 9,830.31, 13,561.80 and 5,580.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.31 : 13,561.80 = 5,580.45 : x
2. Step 2: Convert to fraction form
   9,830.31/13,561.80 = 5,580.45/x
3. Step 3: Cross multiply
   9,830.31x = 13,561.80 × 5,580.45
4. Step 4: Simplify right side
   9,830.31x = 75,680,946.81
5. Step 5: Solve for x
   x = 75,680,946.81/9,830.31
6. Step 6: Final answer
   x = 7,698.73