Finding the Fourth Proportional to 1,184.64, 1,634.72 and 653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.64 : 1,634.72 = 653.50 : x
2. Step 2: Convert to fraction form
   1,184.64/1,634.72 = 653.50/x
3. Step 3: Cross multiply
   1,184.64x = 1,634.72 × 653.50
4. Step 4: Simplify right side
   1,184.64x = 1,068,287.07
5. Step 5: Solve for x
   x = 1,068,287.07/1,184.64
6. Step 6: Final answer
   x = 901.78