Finding the Fourth Proportional to 3,875.64, 5,783.52 and 3,460.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,875.64 : 5,783.52 = 3,460.32 : x
2. Step 2: Convert to fraction form
   3,875.64/5,783.52 = 3,460.32/x
3. Step 3: Cross multiply
   3,875.64x = 5,783.52 × 3,460.32
4. Step 4: Simplify right side
   3,875.64x = 20,012,829.93
5. Step 5: Solve for x
   x = 20,012,829.93/3,875.64
6. Step 6: Final answer
   x = 5,163.75