Finding the Fourth Proportional to 9,616.19, 13,271.00 and 5,637.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,616.19 : 13,271.00 = 5,637.47 : x
2. Step 2: Convert to fraction form
   9,616.19/13,271.00 = 5,637.47/x
3. Step 3: Cross multiply
   9,616.19x = 13,271.00 × 5,637.47
4. Step 4: Simplify right side
   9,616.19x = 74,814,769.83
5. Step 5: Solve for x
   x = 74,814,769.83/9,616.19
6. Step 6: Final answer
   x = 7,780.09