Finding the Fourth Proportional to 1,155.60, 1,593.72 and 824.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.60 : 1,593.72 = 824.22 : x
2. Step 2: Convert to fraction form
   1,155.60/1,593.72 = 824.22/x
3. Step 3: Cross multiply
   1,155.60x = 1,593.72 × 824.22
4. Step 4: Simplify right side
   1,155.60x = 1,313,575.90
5. Step 5: Solve for x
   x = 1,313,575.90/1,155.60
6. Step 6: Final answer
   x = 1,136.70