Finding the Fourth Proportional to 10,540.71, 15,807.60 and 3,875.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.71 : 15,807.60 = 3,875.67 : x
2. Step 2: Convert to fraction form
   10,540.71/15,807.60 = 3,875.67/x
3. Step 3: Cross multiply
   10,540.71x = 15,807.60 × 3,875.67
4. Step 4: Simplify right side
   10,540.71x = 61,265,041.09
5. Step 5: Solve for x
   x = 61,265,041.09/10,540.71
6. Step 6: Final answer
   x = 5,812.23