Finding the Fourth Proportional to 1,533.37, 2,117.27 and 1,002.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.37 : 2,117.27 = 1,002.62 : x
2. Step 2: Convert to fraction form
   1,533.37/2,117.27 = 1,002.62/x
3. Step 3: Cross multiply
   1,533.37x = 2,117.27 × 1,002.62
4. Step 4: Simplify right side
   1,533.37x = 2,122,817.25
5. Step 5: Solve for x
   x = 2,122,817.25/1,533.37
6. Step 6: Final answer
   x = 1,384.41