Finding the Fourth Proportional to 1,094.19, 1,510.00 and 596.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.19 : 1,510.00 = 596.83 : x
2. Step 2: Convert to fraction form
   1,094.19/1,510.00 = 596.83/x
3. Step 3: Cross multiply
   1,094.19x = 1,510.00 × 596.83
4. Step 4: Simplify right side
   1,094.19x = 901,202.77
5. Step 5: Solve for x
   x = 901,202.77/1,094.19
6. Step 6: Final answer
   x = 823.63