Finding the Fourth Proportional to 9,870.57, 13,621.80 and 5,678.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,870.57 : 13,621.80 = 5,678.82 : x
2. Step 2: Convert to fraction form
   9,870.57/13,621.80 = 5,678.82/x
3. Step 3: Cross multiply
   9,870.57x = 13,621.80 × 5,678.82
4. Step 4: Simplify right side
   9,870.57x = 77,355,750.28
5. Step 5: Solve for x
   x = 77,355,750.28/9,870.57
6. Step 6: Final answer
   x = 7,837.01