Finding the Fourth Proportional to 10,416.05, 14,363.64 and 7,870.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416.05 : 14,363.64 = 7,870.07 : x
2. Step 2: Convert to fraction form
   10,416.05/14,363.64 = 7,870.07/x
3. Step 3: Cross multiply
   10,416.05x = 14,363.64 × 7,870.07
4. Step 4: Simplify right side
   10,416.05x = 113,042,888.16
5. Step 5: Solve for x
   x = 113,042,888.16/10,416.05
6. Step 6: Final answer
   x = 10,852.76