Finding the Fourth Proportional to 9,870.84, 13,617.86 and 5,676.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,870.84 : 13,617.86 = 5,676.84 : x
2. Step 2: Convert to fraction form
   9,870.84/13,617.86 = 5,676.84/x
3. Step 3: Cross multiply
   9,870.84x = 13,617.86 × 5,676.84
4. Step 4: Simplify right side
   9,870.84x = 77,306,412.36
5. Step 5: Solve for x
   x = 77,306,412.36/9,870.84
6. Step 6: Final answer
   x = 7,831.80