Finding the Fourth Proportional to 1,155.83, 1,593.54 and 840.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.83 : 1,593.54 = 840.06 : x
2. Step 2: Convert to fraction form
   1,155.83/1,593.54 = 840.06/x
3. Step 3: Cross multiply
   1,155.83x = 1,593.54 × 840.06
4. Step 4: Simplify right side
   1,155.83x = 1,338,669.21
5. Step 5: Solve for x
   x = 1,338,669.21/1,155.83
6. Step 6: Final answer
   x = 1,158.19