Finding the Fourth Proportional to 1,602.61, 2,402.59 and 678.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.61 : 2,402.59 = 678.89 : x
2. Step 2: Convert to fraction form
   1,602.61/2,402.59 = 678.89/x
3. Step 3: Cross multiply
   1,602.61x = 2,402.59 × 678.89
4. Step 4: Simplify right side
   1,602.61x = 1,631,090.93
5. Step 5: Solve for x
   x = 1,631,090.93/1,602.61
6. Step 6: Final answer
   x = 1,017.77