Finding the Fourth Proportional to 1,135.89, 1,566.63 and 821.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,135.89 : 1,566.63 = 821.10 : x
2. Step 2: Convert to fraction form
   1,135.89/1,566.63 = 821.10/x
3. Step 3: Cross multiply
   1,135.89x = 1,566.63 × 821.10
4. Step 4: Simplify right side
   1,135.89x = 1,286,359.89
5. Step 5: Solve for x
   x = 1,286,359.89/1,135.89
6. Step 6: Final answer
   x = 1,132.47