Finding the Fourth Proportional to 1,526.58, 2,288.25 and 795.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.58 : 2,288.25 = 795.42 : x
2. Step 2: Convert to fraction form
   1,526.58/2,288.25 = 795.42/x
3. Step 3: Cross multiply
   1,526.58x = 2,288.25 × 795.42
4. Step 4: Simplify right side
   1,526.58x = 1,820,119.82
5. Step 5: Solve for x
   x = 1,820,119.82/1,526.58
6. Step 6: Final answer
   x = 1,192.29