Finding the Fourth Proportional to 1,501.56, 2,071.80 and 1,005.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.56 : 2,071.80 = 1,005.12 : x
2. Step 2: Convert to fraction form
   1,501.56/2,071.80 = 1,005.12/x
3. Step 3: Cross multiply
   1,501.56x = 2,071.80 × 1,005.12
4. Step 4: Simplify right side
   1,501.56x = 2,082,407.62
5. Step 5: Solve for x
   x = 2,082,407.62/1,501.56
6. Step 6: Final answer
   x = 1,386.83