Finding the Fourth Proportional to 9,877.68, 13,626.63 and 5,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,877.68 : 13,626.63 = 5,683.50 : x
2. Step 2: Convert to fraction form
   9,877.68/13,626.63 = 5,683.50/x
3. Step 3: Cross multiply
   9,877.68x = 13,626.63 × 5,683.50
4. Step 4: Simplify right side
   9,877.68x = 77,446,951.61
5. Step 5: Solve for x
   x = 77,446,951.61/9,877.68
6. Step 6: Final answer
   x = 7,840.60