Finding the Fourth Proportional to 9,846.78, 13,588.47 and 5,655.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,846.78 : 13,588.47 = 5,655.06 : x
2. Step 2: Convert to fraction form
   9,846.78/13,588.47 = 5,655.06/x
3. Step 3: Cross multiply
   9,846.78x = 13,588.47 × 5,655.06
4. Step 4: Simplify right side
   9,846.78x = 76,843,613.16
5. Step 5: Solve for x
   x = 76,843,613.16/9,846.78
6. Step 6: Final answer
   x = 7,803.93