Finding the Fourth Proportional to 1,522.58, 2,101.16 and 823.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.58 : 2,101.16 = 823.96 : x
2. Step 2: Convert to fraction form
   1,522.58/2,101.16 = 823.96/x
3. Step 3: Cross multiply
   1,522.58x = 2,101.16 × 823.96
4. Step 4: Simplify right side
   1,522.58x = 1,731,259.23
5. Step 5: Solve for x
   x = 1,731,259.23/1,522.58
6. Step 6: Final answer
   x = 1,137.06