Finding the Fourth Proportional to 1,501.14, 2,071.56 and 838.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.14 : 2,071.56 = 838.02 : x
2. Step 2: Convert to fraction form
   1,501.14/2,071.56 = 838.02/x
3. Step 3: Cross multiply
   1,501.14x = 2,071.56 × 838.02
4. Step 4: Simplify right side
   1,501.14x = 1,736,008.71
5. Step 5: Solve for x
   x = 1,736,008.71/1,501.14
6. Step 6: Final answer
   x = 1,156.46