Finding the Fourth Proportional to 1,982.53, 2,973.78 and 1,166.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,982.53 : 2,973.78 = 1,166.00 : x
2. Step 2: Convert to fraction form
   1,982.53/2,973.78 = 1,166.00/x
3. Step 3: Cross multiply
   1,982.53x = 2,973.78 × 1,166.00
4. Step 4: Simplify right side
   1,982.53x = 3,467,428.14
5. Step 5: Solve for x
   x = 3,467,428.14/1,982.53
6. Step 6: Final answer
   x = 1,748.99