Finding the Fourth Proportional to 1,501.40, 2,071.90 and 838.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.40 : 2,071.90 = 838.22 : x
2. Step 2: Convert to fraction form
   1,501.40/2,071.90 = 838.22/x
3. Step 3: Cross multiply
   1,501.40x = 2,071.90 × 838.22
4. Step 4: Simplify right side
   1,501.40x = 1,736,708.02
5. Step 5: Solve for x
   x = 1,736,708.02/1,501.40
6. Step 6: Final answer
   x = 1,156.73