Finding the Fourth Proportional to 978.17, 1,461.96 and 900.33

Step by Step Solution

1. Step 1: Write the proportion equation
   978.17 : 1,461.96 = 900.33 : x
2. Step 2: Convert to fraction form
   978.17/1,461.96 = 900.33/x
3. Step 3: Cross multiply
   978.17x = 1,461.96 × 900.33
4. Step 4: Simplify right side
   978.17x = 1,316,241.95
5. Step 5: Solve for x
   x = 1,316,241.95/978.17
6. Step 6: Final answer
   x = 1,345.62