Finding the Fourth Proportional to 1,385.53, 1,911.80 and 825.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.53 : 1,911.80 = 825.98 : x
2. Step 2: Convert to fraction form
   1,385.53/1,911.80 = 825.98/x
3. Step 3: Cross multiply
   1,385.53x = 1,911.80 × 825.98
4. Step 4: Simplify right side
   1,385.53x = 1,579,108.56
5. Step 5: Solve for x
   x = 1,579,108.56/1,385.53
6. Step 6: Final answer
   x = 1,139.72