Finding the Fourth Proportional to 1,501.83, 2,072.57 and 838.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.83 : 2,072.57 = 838.76 : x
2. Step 2: Convert to fraction form
   1,501.83/2,072.57 = 838.76/x
3. Step 3: Cross multiply
   1,501.83x = 2,072.57 × 838.76
4. Step 4: Simplify right side
   1,501.83x = 1,738,374.26
5. Step 5: Solve for x
   x = 1,738,374.26/1,501.83
6. Step 6: Final answer
   x = 1,157.50