Finding the Fourth Proportional to 9,810.50, 13,538.05 and 5,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,810.50 : 13,538.05 = 5,561.50 : x
2. Step 2: Convert to fraction form
   9,810.50/13,538.05 = 5,561.50/x
3. Step 3: Cross multiply
   9,810.50x = 13,538.05 × 5,561.50
4. Step 4: Simplify right side
   9,810.50x = 75,291,865.08
5. Step 5: Solve for x
   x = 75,291,865.08/9,810.50
6. Step 6: Final answer
   x = 7,674.62