Finding the Fourth Proportional to 1,310.57, 1,807.98 and 838.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,310.57 : 1,807.98 = 838.24 : x
2. Step 2: Convert to fraction form
   1,310.57/1,807.98 = 838.24/x
3. Step 3: Cross multiply
   1,310.57x = 1,807.98 × 838.24
4. Step 4: Simplify right side
   1,310.57x = 1,515,521.16
5. Step 5: Solve for x
   x = 1,515,521.16/1,310.57
6. Step 6: Final answer
   x = 1,156.38