Finding the Fourth Proportional to 5,107.32, 7,654.50 and 3,870.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,107.32 : 7,654.50 = 3,870.86 : x
2. Step 2: Convert to fraction form
   5,107.32/7,654.50 = 3,870.86/x
3. Step 3: Cross multiply
   5,107.32x = 7,654.50 × 3,870.86
4. Step 4: Simplify right side
   5,107.32x = 29,629,459.60
5. Step 5: Solve for x
   x = 29,629,459.60/5,107.32
6. Step 6: Final answer
   x = 5,801.37