Finding the Fourth Proportional to 1,526.81, 2,106.90 and 854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.81 : 2,106.90 = 854.50 : x
2. Step 2: Convert to fraction form
   1,526.81/2,106.90 = 854.50/x
3. Step 3: Cross multiply
   1,526.81x = 2,106.90 × 854.50
4. Step 4: Simplify right side
   1,526.81x = 1,800,340.78
5. Step 5: Solve for x
   x = 1,800,340.78/1,526.81
6. Step 6: Final answer
   x = 1,179.15