Finding the Fourth Proportional to 2,128.88, 3,194.54 and 974.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128.88 : 3,194.54 = 974.63 : x
2. Step 2: Convert to fraction form
   2,128.88/3,194.54 = 974.63/x
3. Step 3: Cross multiply
   2,128.88x = 3,194.54 × 974.63
4. Step 4: Simplify right side
   2,128.88x = 3,113,473.67
5. Step 5: Solve for x
   x = 3,113,473.67/2,128.88
6. Step 6: Final answer
   x = 1,462.50