Finding the Fourth Proportional to 2,133, 3,200.72 and 978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,133 : 3,200.72 = 978.75 : x
2. Step 2: Convert to fraction form
   2,133/3,200.72 = 978.75/x
3. Step 3: Cross multiply
   2,133x = 3,200.72 × 978.75
4. Step 4: Simplify right side
   2,133x = 3,132,699.81
5. Step 5: Solve for x
   x = 3,132,699.81/2,133
6. Step 6: Final answer
   x = 1,468.68