Finding the Fourth Proportional to 1,346.41, 1,857.16 and 972.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,346.41 : 1,857.16 = 972.78 : x
2. Step 2: Convert to fraction form
   1,346.41/1,857.16 = 972.78/x
3. Step 3: Cross multiply
   1,346.41x = 1,857.16 × 972.78
4. Step 4: Simplify right side
   1,346.41x = 1,806,608.10
5. Step 5: Solve for x
   x = 1,806,608.10/1,346.41
6. Step 6: Final answer
   x = 1,341.80