Finding the Fourth Proportional to 2,978.72, 4,465.56 and 1,417.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.72 : 4,465.56 = 1,417.84 : x
2. Step 2: Convert to fraction form
   2,978.72/4,465.56 = 1,417.84/x
3. Step 3: Cross multiply
   2,978.72x = 4,465.56 × 1,417.84
4. Step 4: Simplify right side
   2,978.72x = 6,331,449.59
5. Step 5: Solve for x
   x = 6,331,449.59/2,978.72
6. Step 6: Final answer
   x = 2,125.56