Finding the Fourth Proportional to 2,133.78, 3,200.61 and 1,166.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,133.78 : 3,200.61 = 1,166.01 : x
2. Step 2: Convert to fraction form
   2,133.78/3,200.61 = 1,166.01/x
3. Step 3: Cross multiply
   2,133.78x = 3,200.61 × 1,166.01
4. Step 4: Simplify right side
   2,133.78x = 3,731,943.27
5. Step 5: Solve for x
   x = 3,731,943.27/2,133.78
6. Step 6: Final answer
   x = 1,748.98