Finding the Fourth Proportional to 1,526.53, 2,106.61 and 827.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.53 : 2,106.61 = 827.90 : x
2. Step 2: Convert to fraction form
   1,526.53/2,106.61 = 827.90/x
3. Step 3: Cross multiply
   1,526.53x = 2,106.61 × 827.90
4. Step 4: Simplify right side
   1,526.53x = 1,744,062.42
5. Step 5: Solve for x
   x = 1,744,062.42/1,526.53
6. Step 6: Final answer
   x = 1,142.50