Finding the Fourth Proportional to 1,152.76, 1,588.52 and 820.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.76 : 1,588.52 = 820.60 : x
2. Step 2: Convert to fraction form
   1,152.76/1,588.52 = 820.60/x
3. Step 3: Cross multiply
   1,152.76x = 1,588.52 × 820.60
4. Step 4: Simplify right side
   1,152.76x = 1,303,539.51
5. Step 5: Solve for x
   x = 1,303,539.51/1,152.76
6. Step 6: Final answer
   x = 1,130.80