Finding the Fourth Proportional to 1,501.39, 2,071.71 and 838.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.39 : 2,071.71 = 838.16 : x
2. Step 2: Convert to fraction form
   1,501.39/2,071.71 = 838.16/x
3. Step 3: Cross multiply
   1,501.39x = 2,071.71 × 838.16
4. Step 4: Simplify right side
   1,501.39x = 1,736,414.10
5. Step 5: Solve for x
   x = 1,736,414.10/1,501.39
6. Step 6: Final answer
   x = 1,156.54