Finding the Fourth Proportional to 1,510.89, 2,085.05 and 838.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.89 : 2,085.05 = 838.74 : x
2. Step 2: Convert to fraction form
   1,510.89/2,085.05 = 838.74/x
3. Step 3: Cross multiply
   1,510.89x = 2,085.05 × 838.74
4. Step 4: Simplify right side
   1,510.89x = 1,748,810.64
5. Step 5: Solve for x
   x = 1,748,810.64/1,510.89
6. Step 6: Final answer
   x = 1,157.47