Finding the Fourth Proportional to 1,312.56, 1,810.62 and 846

Step by Step Solution

1. Step 1: Write the proportion equation
   1,312.56 : 1,810.62 = 846 : x
2. Step 2: Convert to fraction form
   1,312.56/1,810.62 = 846/x
3. Step 3: Cross multiply
   1,312.56x = 1,810.62 × 846
4. Step 4: Simplify right side
   1,312.56x = 1,531,784.52
5. Step 5: Solve for x
   x = 1,531,784.52/1,312.56
6. Step 6: Final answer
   x = 1,167.02