Finding the Fourth Proportional to 1,784.34, 2,461.56 and 1,155.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.34 : 2,461.56 = 1,155.07 : x
2. Step 2: Convert to fraction form
   1,784.34/2,461.56 = 1,155.07/x
3. Step 3: Cross multiply
   1,784.34x = 2,461.56 × 1,155.07
4. Step 4: Simplify right side
   1,784.34x = 2,843,274.11
5. Step 5: Solve for x
   x = 2,843,274.11/1,784.34
6. Step 6: Final answer
   x = 1,593.46