Finding the Fourth Proportional to 1,218.38, 1,826.34 and 525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,218.38 : 1,826.34 = 525.50 : x
2. Step 2: Convert to fraction form
   1,218.38/1,826.34 = 525.50/x
3. Step 3: Cross multiply
   1,218.38x = 1,826.34 × 525.50
4. Step 4: Simplify right side
   1,218.38x = 959,741.67
5. Step 5: Solve for x
   x = 959,741.67/1,218.38
6. Step 6: Final answer
   x = 787.72