Finding the Fourth Proportional to 1,156.76, 1,594.04 and 824.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.76 : 1,594.04 = 824.60 : x
2. Step 2: Convert to fraction form
   1,156.76/1,594.04 = 824.60/x
3. Step 3: Cross multiply
   1,156.76x = 1,594.04 × 824.60
4. Step 4: Simplify right side
   1,156.76x = 1,314,445.38
5. Step 5: Solve for x
   x = 1,314,445.38/1,156.76
6. Step 6: Final answer
   x = 1,136.32