Finding the Fourth Proportional to 9,870.71, 13,624.83 and 7,857.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,870.71 : 13,624.83 = 7,857.81 : x
2. Step 2: Convert to fraction form
   9,870.71/13,624.83 = 7,857.81/x
3. Step 3: Cross multiply
   9,870.71x = 13,624.83 × 7,857.81
4. Step 4: Simplify right side
   9,870.71x = 107,061,347.52
5. Step 5: Solve for x
   x = 107,061,347.52/9,870.71
6. Step 6: Final answer
   x = 10,846.37