Finding the Fourth Proportional to 2,978.64, 4,465.14 and 1,030.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.64 : 4,465.14 = 1,030.38 : x
2. Step 2: Convert to fraction form
   2,978.64/4,465.14 = 1,030.38/x
3. Step 3: Cross multiply
   2,978.64x = 4,465.14 × 1,030.38
4. Step 4: Simplify right side
   2,978.64x = 4,600,790.95
5. Step 5: Solve for x
   x = 4,600,790.95/2,978.64
6. Step 6: Final answer
   x = 1,544.59