Finding the Fourth Proportional to 9,877.47, 13,632.09 and 5,686.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,877.47 : 13,632.09 = 5,686.53 : x
2. Step 2: Convert to fraction form
   9,877.47/13,632.09 = 5,686.53/x
3. Step 3: Cross multiply
   9,877.47x = 13,632.09 × 5,686.53
4. Step 4: Simplify right side
   9,877.47x = 77,519,288.75
5. Step 5: Solve for x
   x = 77,519,288.75/9,877.47
6. Step 6: Final answer
   x = 7,848.09