Finding the Fourth Proportional to 9,810.68, 13,538.03 and 5,561.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,810.68 : 13,538.03 = 5,561.82 : x
2. Step 2: Convert to fraction form
   9,810.68/13,538.03 = 5,561.82/x
3. Step 3: Cross multiply
   9,810.68x = 13,538.03 × 5,561.82
4. Step 4: Simplify right side
   9,810.68x = 75,296,058.21
5. Step 5: Solve for x
   x = 75,296,058.21/9,810.68
6. Step 6: Final answer
   x = 7,674.91