Finding the Fourth Proportional to 1,233.60, 1,848.15 and 975.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.60 : 1,848.15 = 975.30 : x
2. Step 2: Convert to fraction form
   1,233.60/1,848.15 = 975.30/x
3. Step 3: Cross multiply
   1,233.60x = 1,848.15 × 975.30
4. Step 4: Simplify right side
   1,233.60x = 1,802,500.70
5. Step 5: Solve for x
   x = 1,802,500.70/1,233.60
6. Step 6: Final answer
   x = 1,461.17