Finding the Fourth Proportional to 1,501.48, 2,071.78 and 838.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.48 : 2,071.78 = 838.23 : x
2. Step 2: Convert to fraction form
   1,501.48/2,071.78 = 838.23/x
3. Step 3: Cross multiply
   1,501.48x = 2,071.78 × 838.23
4. Step 4: Simplify right side
   1,501.48x = 1,736,628.15
5. Step 5: Solve for x
   x = 1,736,628.15/1,501.48
6. Step 6: Final answer
   x = 1,156.61