Finding the Fourth Proportional to 1,005.99, 1,506.69 and 784.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.99 : 1,506.69 = 784.89 : x
2. Step 2: Convert to fraction form
   1,005.99/1,506.69 = 784.89/x
3. Step 3: Cross multiply
   1,005.99x = 1,506.69 × 784.89
4. Step 4: Simplify right side
   1,005.99x = 1,182,585.91
5. Step 5: Solve for x
   x = 1,182,585.91/1,005.99
6. Step 6: Final answer
   x = 1,175.54