Finding the Fourth Proportional to 1,510.98, 2,085.26 and 838.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.98 : 2,085.26 = 838.82 : x
2. Step 2: Convert to fraction form
   1,510.98/2,085.26 = 838.82/x
3. Step 3: Cross multiply
   1,510.98x = 2,085.26 × 838.82
4. Step 4: Simplify right side
   1,510.98x = 1,749,165.10
5. Step 5: Solve for x
   x = 1,749,165.10/1,510.98
6. Step 6: Final answer
   x = 1,157.64