Finding the Fourth Proportional to 1,152.41, 1,588.06 and 819.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.41 : 1,588.06 = 819.91 : x
2. Step 2: Convert to fraction form
   1,152.41/1,588.06 = 819.91/x
3. Step 3: Cross multiply
   1,152.41x = 1,588.06 × 819.91
4. Step 4: Simplify right side
   1,152.41x = 1,302,060.25
5. Step 5: Solve for x
   x = 1,302,060.25/1,152.41
6. Step 6: Final answer
   x = 1,129.86