Finding the Fourth Proportional to 1,066.02, 1,596.57 and 916.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.02 : 1,596.57 = 916.09 : x
2. Step 2: Convert to fraction form
   1,066.02/1,596.57 = 916.09/x
3. Step 3: Cross multiply
   1,066.02x = 1,596.57 × 916.09
4. Step 4: Simplify right side
   1,066.02x = 1,462,601.81
5. Step 5: Solve for x
   x = 1,462,601.81/1,066.02
6. Step 6: Final answer
   x = 1,372.02