Finding the Fourth Proportional to 1,526.37, 2,106.30 and 854.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.37 : 2,106.30 = 854.22 : x
2. Step 2: Convert to fraction form
   1,526.37/2,106.30 = 854.22/x
3. Step 3: Cross multiply
   1,526.37x = 2,106.30 × 854.22
4. Step 4: Simplify right side
   1,526.37x = 1,799,243.59
5. Step 5: Solve for x
   x = 1,799,243.59/1,526.37
6. Step 6: Final answer
   x = 1,178.77