Finding the Fourth Proportional to 3,438.40, 5,156.52 and 1,978.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,438.40 : 5,156.52 = 1,978.24 : x
2. Step 2: Convert to fraction form
   3,438.40/5,156.52 = 1,978.24/x
3. Step 3: Cross multiply
   3,438.40x = 5,156.52 × 1,978.24
4. Step 4: Simplify right side
   3,438.40x = 10,200,834.12
5. Step 5: Solve for x
   x = 10,200,834.12/3,438.40
6. Step 6: Final answer
   x = 2,966.74