Finding the Fourth Proportional to 1,361.60, 1,878.50 and 830.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,361.60 : 1,878.50 = 830.12 : x
2. Step 2: Convert to fraction form
   1,361.60/1,878.50 = 830.12/x
3. Step 3: Cross multiply
   1,361.60x = 1,878.50 × 830.12
4. Step 4: Simplify right side
   1,361.60x = 1,559,376.27
5. Step 5: Solve for x
   x = 1,559,376.27/1,361.60
6. Step 6: Final answer
   x = 1,145.26