Finding the Fourth Proportional to 9,877.38, 13,630.80 and 5,685.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,877.38 : 13,630.80 = 5,685.63 : x
2. Step 2: Convert to fraction form
   9,877.38/13,630.80 = 5,685.63/x
3. Step 3: Cross multiply
   9,877.38x = 13,630.80 × 5,685.63
4. Step 4: Simplify right side
   9,877.38x = 77,499,685.40
5. Step 5: Solve for x
   x = 77,499,685.40/9,877.38
6. Step 6: Final answer
   x = 7,846.18