Finding the Fourth Proportional to 1,111.64, 1,666.49 and 1,056.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.64 : 1,666.49 = 1,056.96 : x
2. Step 2: Convert to fraction form
   1,111.64/1,666.49 = 1,056.96/x
3. Step 3: Cross multiply
   1,111.64x = 1,666.49 × 1,056.96
4. Step 4: Simplify right side
   1,111.64x = 1,761,407.99
5. Step 5: Solve for x
   x = 1,761,407.99/1,111.64
6. Step 6: Final answer
   x = 1,584.52