Finding the Fourth Proportional to 1,111.14, 1,665.74 and 525.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.14 : 1,665.74 = 525.84 : x
2. Step 2: Convert to fraction form
   1,111.14/1,665.74 = 525.84/x
3. Step 3: Cross multiply
   1,111.14x = 1,665.74 × 525.84
4. Step 4: Simplify right side
   1,111.14x = 875,912.72
5. Step 5: Solve for x
   x = 875,912.72/1,111.14
6. Step 6: Final answer
   x = 788.30