Finding the Fourth Proportional to 10,513.82, 14,510.06 and 7,856.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513.82 : 14,510.06 = 7,856.61 : x
2. Step 2: Convert to fraction form
   10,513.82/14,510.06 = 7,856.61/x
3. Step 3: Cross multiply
   10,513.82x = 14,510.06 × 7,856.61
4. Step 4: Simplify right side
   10,513.82x = 113,999,843.21
5. Step 5: Solve for x
   x = 113,999,843.21/10,513.82
6. Step 6: Final answer
   x = 10,842.86