Finding the Fourth Proportional to 1,533.56, 2,116.50 and 1,010.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.56 : 2,116.50 = 1,010.66 : x
2. Step 2: Convert to fraction form
   1,533.56/2,116.50 = 1,010.66/x
3. Step 3: Cross multiply
   1,533.56x = 2,116.50 × 1,010.66
4. Step 4: Simplify right side
   1,533.56x = 2,139,061.89
5. Step 5: Solve for x
   x = 2,139,061.89/1,533.56
6. Step 6: Final answer
   x = 1,394.83