Finding the Fourth Proportional to 1,298.17, 1,945.90 and 972.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.17 : 1,945.90 = 972.55 : x
2. Step 2: Convert to fraction form
   1,298.17/1,945.90 = 972.55/x
3. Step 3: Cross multiply
   1,298.17x = 1,945.90 × 972.55
4. Step 4: Simplify right side
   1,298.17x = 1,892,470.45
5. Step 5: Solve for x
   x = 1,892,470.45/1,298.17
6. Step 6: Final answer
   x = 1,457.80