Finding the Fourth Proportional to 10,117.34, 15,165.63 and 3,875.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,117.34 : 15,165.63 = 3,875.75 : x
2. Step 2: Convert to fraction form
   10,117.34/15,165.63 = 3,875.75/x
3. Step 3: Cross multiply
   10,117.34x = 15,165.63 × 3,875.75
4. Step 4: Simplify right side
   10,117.34x = 58,778,171.52
5. Step 5: Solve for x
   x = 58,778,171.52/10,117.34
6. Step 6: Final answer
   x = 5,809.65