Finding the Fourth Proportional to 1,307.61, 1,802.61 and 864.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,307.61 : 1,802.61 = 864.77 : x
2. Step 2: Convert to fraction form
   1,307.61/1,802.61 = 864.77/x
3. Step 3: Cross multiply
   1,307.61x = 1,802.61 × 864.77
4. Step 4: Simplify right side
   1,307.61x = 1,558,834.04
5. Step 5: Solve for x
   x = 1,558,834.04/1,307.61
6. Step 6: Final answer
   x = 1,192.12