Finding the Fourth Proportional to 1,165.84, 1,607.46 and 929.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.84 : 1,607.46 = 929.05 : x
2. Step 2: Convert to fraction form
   1,165.84/1,607.46 = 929.05/x
3. Step 3: Cross multiply
   1,165.84x = 1,607.46 × 929.05
4. Step 4: Simplify right side
   1,165.84x = 1,493,410.71
5. Step 5: Solve for x
   x = 1,493,410.71/1,165.84
6. Step 6: Final answer
   x = 1,280.97