Finding the Fourth Proportional to 1,477.25, 2,037.52 and 1,005.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.25 : 2,037.52 = 1,005.01 : x
2. Step 2: Convert to fraction form
   1,477.25/2,037.52 = 1,005.01/x
3. Step 3: Cross multiply
   1,477.25x = 2,037.52 × 1,005.01
4. Step 4: Simplify right side
   1,477.25x = 2,047,724.14
5. Step 5: Solve for x
   x = 2,047,724.14/1,477.25
6. Step 6: Final answer
   x = 1,386.17