Finding the Fourth Proportional to 1,005.32, 1,513.55 and 787.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.32 : 1,513.55 = 787.11 : x
2. Step 2: Convert to fraction form
   1,005.32/1,513.55 = 787.11/x
3. Step 3: Cross multiply
   1,005.32x = 1,513.55 × 787.11
4. Step 4: Simplify right side
   1,005.32x = 1,191,326.40
5. Step 5: Solve for x
   x = 1,191,326.40/1,005.32
6. Step 6: Final answer
   x = 1,185.03