Finding the Fourth Proportional to 2,307.84, 3,185.10 and 1,864.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,307.84 : 3,185.10 = 1,864.32 : x
2. Step 2: Convert to fraction form
   2,307.84/3,185.10 = 1,864.32/x
3. Step 3: Cross multiply
   2,307.84x = 3,185.10 × 1,864.32
4. Step 4: Simplify right side
   2,307.84x = 5,938,045.63
5. Step 5: Solve for x
   x = 5,938,045.63/2,307.84
6. Step 6: Final answer
   x = 2,572.99