Finding the Fourth Proportional to 1,109.70, 1,662.35 and 972.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.70 : 1,662.35 = 972.90 : x
2. Step 2: Convert to fraction form
   1,109.70/1,662.35 = 972.90/x
3. Step 3: Cross multiply
   1,109.70x = 1,662.35 × 972.90
4. Step 4: Simplify right side
   1,109.70x = 1,617,300.32
5. Step 5: Solve for x
   x = 1,617,300.32/1,109.70
6. Step 6: Final answer
   x = 1,457.42